Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 1037473: The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

Click here to see answer by ikleyn(52751)

Question 1037610: find the perimeter of triangle ABC where A(-4,-1) B(4,5) and C(4,-2)

Click here to see answer by jhunjiro(67)

Question 1037644: find the perimeter of triangle ABC A(-4,-1) B(4,5) C(4,-2)
Click here to see answer by Alan3354(69443)

Question 1037694: find the perimeter of triangle ABC A(-4,-1)B(4,5)C(4,-2) I know the answer is 25.0623 by the help of one of the tutors here but when I put it in the answer block for the acellus site it says its wrong I tried using 25 first and it was wrong I then tried using the whole 25.0623 and it still said I was wrong
Click here to see answer by Alan3354(69443)

Question 1037769: if sin A=sqrt(3)/2,find all the other angles

Click here to see answer by tutor_paul(519)

Question 1037909: the sides of a triangle have lengths 6.5, 10, and s, where s is a possitive interger. What is the smallest possible value of s
Click here to see answer by jim_thompson5910(35256)

Question 1037903: find the perimeter of triangle XYZ, where X(0,2) Y(4,-1) and Z(-2,-1)
Click here to see answer by Aldorozos(172)

Question 1038133: I am given the B leg and the hypotenuse the B leg being 6 meters and the hypotenuse being (2x-6) meters. It wants me to find the lengths of two legs and the hypotenuse. I've tried it for the past hour now and cant figure it out..
Click here to see answer by jorel555(1290)

Question 1038316: The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the side opposite the smallest angle of the triangle is __?__ centimeters.

Click here to see answer by josgarithmetic(39613)

Question 1038360: You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40 degrees. How many triangles can you construct using these measurements?
Click here to see answer by Alan3354(69443)

Question 1038406: The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.
What is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?

Click here to see answer by Theo(13342)

Question 1038448: A square of side 1m is inscribed in an equilateral triangle. Find one side of the triangle.
I can't figure out how to do this, thanks.
Click here to see answer by solver91311(24713)

Question 1038501: In the diagram, AP=AB, triangle ABQ is equilateral and angle PAB =82 degr,
calculate
a) angle ACB, pls show step
b)angle PQR,pls show step
I have a drawing but i do not know how to upload here, pls help
Thanks
hendor
Click here to see answer by Othel(27)

Question 1038515: in triangle PQR, angle P = 90. PQ= PR, PM is an altitude from P, S is any point on QR such that M is between Q and S, S is between M and R. To prove that QS^2+SR^2=2PS^2
Click here to see answer by solver91311(24713)

Question 1038817: Picture: http://imgur.com/EyV3k5J
Describe the range of possible values of x in (triangle)ABC
Click here to see answer by solver91311(24713)

Question 1038901: One of the angles of a right triangle is 25�. What is the ratio of the largest angle of the triangle to the difference between the acute angles?
Click here to see answer by Theo(13342)

Question 1038962: in triangle wxy, xy is congruent to xy. the perimeter of wxy is 76 inches. how many inches long is wx?
Click here to see answer by ikleyn(52751)

Question 1038848: A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle. Then the angles of the image must be 1.5 times the size of the corresponding angles in the original triangle.

Click here to see answer by KMST(5328)

Question 1039012: If one angle of an equiangular triangle is bisected, find all the angles in the two triangles thus formed.
Click here to see answer by josgarithmetic(39613)

Question 1039012: If one angle of an equiangular triangle is bisected, find all the angles in the two triangles thus formed.
Click here to see answer by JulietG(1812)

Question 1039044: Triangle ABC- triangle DEF, find the factor of ABC to DEF, triangle ABC Sides are AB=8, BC=12 triangle DEF with sides of DE=5 and EF=7.5
Click here to see answer by ikleyn(52751)

Question 1039143: The perimeter of a triangular field is 240dm. It two of its sides are 78dm and 50dm,find the length of the perpendicular on the side of length 50dm from the opposite vertex.
Click here to see answer by ikleyn(52751)

Question 1039142: In a triangle about ab=15 bc=13 ac=14cm. Find the area of triangle and hence its altitude.
Click here to see answer by ikleyn(52751)

Question 1039253: Assume triangle JKL is in the first quadrant, with the measure of angle K = 90�. Suppose triangle JKL is a 30�-60�-90� triangle and segment JK is the side opposite the 60� angle. What are the approximate coordinates of point L?
Click here to see answer by solver91311(24713)

Question 1039429: 1.The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59 degree. Find the length of side AC.
Click here to see answer by Fombitz(32388)

Question 1039482: The area of a right triangle is 105m^2. The hypotenuse has length square root 421m. What are the lengths of the legs?
Click here to see answer by stanbon(75887)

Question 1039482: The area of a right triangle is 105m^2. The hypotenuse has length square root 421m. What are the lengths of the legs?
Click here to see answer by Aldorozos(172)

Question 1039482: The area of a right triangle is 105m^2. The hypotenuse has length square root 421m. What are the lengths of the legs?
Click here to see answer by MathTherapy(10549)

Question 1039827: Thank you all beforehand for helping me out. I really appreciate your time and effort.
Find the area of triangle ABC if AB = BC = 12 and angle ABC = 120.
Click here to see answer by josgarithmetic(39613)

Question 1039843: (1) An angle of a triangle is 65 degree and the other two differ by 16 degree. Find the other two angles.

(2) An angle of a triangle is 98 degree and the larger of the other two angles is 14 degree less than five times the smaller. Find the other two angles.
Click here to see answer by Fombitz(32388)

Question 1039921: the sum of the acute angles of an obtuse triangle is 70� and their difference is 10� .then what is its largest angle?
Click here to see answer by josmiceli(19441)

Question 1039921: the sum of the acute angles of an obtuse triangle is 70� and their difference is 10� .then what is its largest angle?
Click here to see answer by MathTherapy(10549)

Question 1039948: Solve for side lengths a through f. Round values to nearest whole number. Solve for x y, and z. Round values to the nearest whole number.
Here is an Image: https://cdn.pbrd.co/images/28cCpkY8.png
Click here to see answer by Boreal(15235)

Question 1039681: The diagram shows a section of a bridge between the points A and K. The length of line segment AK is 640 meters. ∆ABC, ∆CDF, and ∆FJK are similar, and 2AC = CF = 2FK. The first pillar BG is 20 meters tall.

The area of ∆CDF is ____ square meters.
Click here to see answer by solver91311(24713)

Question 1040045: What is the difference between similar and congruent.

Click here to see answer by Theo(13342)

Question 1040155: Fugure->http://imgur.com/eUKqbcF
Referring to the figure, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: ΔABC ≅ ΔCDA
What is the reason for Statement #1?
Step Statments Reasons
#1 segment AB ≅ segment DC 23. _____
#2 segment AB║segment DC ?
#3 ∠BAC ≅ ∠DCA ?
#4 segment AC ≅ AC ?
#5 ΔABC ≅ ΔCDA ?

24 Answer:
Referring to the Fig. in Question #23, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: &deltaABC ≅ δCDA
What is the reason for Statement #2?
Step Statments Reasons
#1 segment AB ≅ segment DC ?
#2 segment AB║segment DC 24. _____
#3 ∠BAC ≅ ∠DCA ?
#4 segment AC ≅ AC ?
#5 ΔABC ≅ ΔCDA ?
25 Answer:
Referring to the Fig. in Question #23, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: ΔABC ≅ ΔCDA
What is the reason for Statement #3?
Step Statments Reasons
#1 segment AB ≅ segment DC ?
#2 segment AB║segment DC ?
#3 ∠BAC ≅ ∠DCA 25. _____
#4 segment AC ≅ AC ?
#5 ΔABC ≅ ΔCDA ?

26 Answer:
Referring to the Fig. in Question #23, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: ΔABC ≅ ΔCDA
What is the reason for Statement #4?
Step Statments Reasons
#1 segment AB ≅ segment DC ?
#2 segment AB║segment DC ?
#3 ∠BAC ≅ ∠DCA ?
#4 segment AC ≅ AC 26. _____
#5 ΔABC ≅ ΔCDA ?
27 Answer:
Referring to the Fig. in Question #23, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: ΔABC ≅ ΔCDA
What is the reason for Statement #5?
Step Statments Reasons
#1 segment AB ≅ segment DC ?
#2 segment AB║segment DC ?
#3 ∠BAC ≅ ∠DCA ?
#4 segment AC ≅ AC ?
#5 ΔABC ≅ ΔCDA 27. _____
28 Answer:
Referring to the figure, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #1?
Step Statements Reasons
#1 segment AB║segment CD 28. _____
#2 ∠ABE ≅ ∠DCE ?
#3 segment AB ≅ segment DC ?
#4 ∠BAE ≅ ∠CDE ?
#5 ΔAEB ≅ ΔDEC ?
#6 segment AE ≅ segmentDE ?

29 Answer:
Referring to the Fig. in Question #28, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #2?
Step Statements Reasons
#1 segment AB║segment CD ?
#2 ∠ABE ≅ ∠DCE 29. _____
#3 segment AB ≅ segment DC ?
#4 ∠BAE ≅ ∠CDE ?
#5 ΔAEB ≅ ΔDEC ?
#6 segment AE ≅ segmentDE ?
30 Answer:
Referring to the Fig. in Question #28, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #3?
Step Statements Reasons
#1 segment AB║segment CD ?
#2 ∠ABE ≅ ∠DCE ?
#3 segment AB ≅ segment DC 30. _____
#4 ∠BAE ≅ ∠CDE ?
#5 ΔAEB ≅ ΔDEC ?
#6 segment AE ≅ segmentDE ?
31 Answer:
Referring to the Fig. in Question #28, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #4?
Step Statements Reasons
#1 segment AB║segment CD ?
#2 ∠ABE ≅ ∠DCE ?
#3 segment AB ≅ segment DC ?
#4 ∠BAE ≅ ∠CDE 31. _____
#5 ΔAEB ≅ ΔDEC ?
#6 segment AE ≅ segmentDE ?
32 Answer:
Referring to the Fig. in Question #28, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #5?
Step Statements Reasons
#1 segment AB║segment CD ?
#2 ∠ABE ≅ ∠DCE ?
#3 segment AB ≅ segment DC ?
#4 ∠BAE ≅ ∠CDE ?
#5 ΔAEB ≅ ΔDEC 32. _____
#6 segment AE ≅ segmentDE ?
33 Answer:
Referring to the Fig. in Question #28, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #6?
Step Statements Reasons
#1 segment AB║segment CD ?
#2 ∠ABE ≅ ∠DCE ?
#3 segment AB ≅ segment DC ?
#4 ∠BAE ≅ ∠CDE ?
#5 ΔAEB ≅ ΔDEC ?
#6 segment AE ≅ segmentDE 33. _____

Click here to see answer by ikleyn(52751)

Question 1040442: Find the area of a triangle whose sides are are 8cm,7vm and 5cm.
Click here to see answer by ikleyn(52751)

Question 1040450: AD bisects ABC and AD is perpendicular to BC. Angle ABD and ACD are congruent. Line AB is congruent to line AC. If angle A is 30 degrees and angle B is 90 degrees, how long is line AC? i hope that Im asking this correctly.
Click here to see answer by ikleyn(52751)

Question 1040472: if a triangle have 6+2root3 perimeter and base angles of 30 and 60 degrees then find length of three sides
Click here to see answer by josmiceli(19441)

Question 1040499: Fatima is observe that one angle of an isosceles triamgles is 35 degrees greater than the other angle. Find the remaining unknown angles. Fimd the perimeter and area of the triangle (in terms of bases of the triangles)
Click here to see answer by stanbon(75887)

Question 1040671: in triangle ABC right angled at B. BN perpendicular to AC, AC = 45 cm, BN = 5 cm find AB
Click here to see answer by ankor@dixie-net.com(22740)

Question 1040833: I am confused on what to draw out as triangles, since there are no pictures. Thanks in advance!

Given the triangle ADC, segment BD is a perpendicular bisector of segment AC. Point B is the median of side AC. Why would triangle ABD be similar to triangle CBD?
*SAS
*CPCTC
*SSS
*AAS
Click here to see answer by solver91311(24713)

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