Questions on Geometry: Geometric formulas answered by real tutors!

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Question 1193595: A technical drawing represents the
4
1/2
ft
lengths of the legs of a baby's swing using line segments 3 in. long. If the diagram should indicate the legs are
3
1/2
ft
apart at the base, what length (in inches) represents this distance on the diagram?
in

Click here to see answer by josgarithmetic(39617) About Me 

Question 1193602: In quadrilateral RSTU, RS ⊥ ST and UT ⊥ diagonal RT.
If RS = 12, ST = 16, and RU = 35,find UT

Click here to see answer by greenestamps(13200) About Me 

Question 1193604:
Click here to see answer by josgarithmetic(39617) About Me 

Question 1193613: △ADE ~ △ABC.
Given: DE = 3, AC = 32, EC = BC
Find:BC

Click here to see answer by MathLover1(20850) About Me 
Question 1193613: △ADE ~ △ABC.
Given: DE = 3, AC = 32, EC = BC
Find:BC

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1193614: △CDE ~ △CBA with ∠CDE ≅ ∠B.
If CD = 10, CA = 18, and EB = 11, find CE.

Click here to see answer by MathLover1(20850) About Me 

Question 1193616: In quadrilateral RSTU, RS ⊥ ST and UT ⊥ diagonal RT.
If RS = 12, ST = 16, and RU = 35,find UT.

Click here to see answer by ikleyn(52787) About Me 

Question 1193617: In right △ABC with right ∠C,
AB = 20 and BC = 16.
Find the length of MB if M is the midpoint of AC

Click here to see answer by ikleyn(52787) About Me 

Question 1193629: In regular hexagon ABCDEF, the length of
AB
is x centimeters.
Regular hexagon A B C D E F is given. Two line segments lie inside the hexagon: diagonals B F and C F.
In terms of x, find the length in centimeters of the following.
(a)
diagonal
BF?cm
(b)
diagonal
CF?cm

Click here to see answer by greenestamps(13200) About Me 

Question 1193628: Given:
isosceles trapezoid MNPQ with QP = 18 and m∠M = 120°
the bisectors of ∠s MQP and NPQ meet at point T on MN
Find: the perimeter of MNPQ

Click here to see answer by ikleyn(52787) About Me 

Question 1193615: Consider the following figure where △ABC ~ △DBE.
AC = 6, DE = 4, CB = 5
Find:EB

Click here to see answer by math_tutor2020(3817) About Me 

Question 1193627: Given:
△ABC with m∠A = 45°, m∠B = 30°, and
BC = 14
Find: AB
Draw altitude
CD
from C to
AB.
Determine the measures of ∠DCA and ∠DCB in degrees.
m∠DCA =
°
m∠DCB =
°
Find the exact lengths of
CD, AD, and DB.
CD =

AD =

DB =

Find AB. Give both an exact solution and an approximate solution to two decimal places.
exact AB =

approximate AB =

Click here to see answer by Boreal(15235) About Me 
Question 1193627: Given:
△ABC with m∠A = 45°, m∠B = 30°, and
BC = 14
Find: AB
Draw altitude
CD
from C to
AB.
Determine the measures of ∠DCA and ∠DCB in degrees.
m∠DCA =
°
m∠DCB =
°
Find the exact lengths of
CD, AD, and DB.
CD =

AD =

DB =

Find AB. Give both an exact solution and an approximate solution to two decimal places.
exact AB =

approximate AB =

Click here to see answer by Solver92311(821) About Me 
Question 1193627: Given:
△ABC with m∠A = 45°, m∠B = 30°, and
BC = 14
Find: AB
Draw altitude
CD
from C to
AB.
Determine the measures of ∠DCA and ∠DCB in degrees.
m∠DCA =
°
m∠DCB =
°
Find the exact lengths of
CD, AD, and DB.
CD =

AD =

DB =

Find AB. Give both an exact solution and an approximate solution to two decimal places.
exact AB =

approximate AB =

Click here to see answer by greenestamps(13200) About Me 

Question 1193626: Give both an exact solution and an approximate solution to two decimal places for the following.
Given:
right △ABC with m∠C = 90° and m∠BAC = 60°
point D on BC
AD bisects ∠BAC and AC = 3radical 3
Find: BD
exact BD =

approximate BD =

Click here to see answer by Boreal(15235) About Me 

Question 1193672: Given: right △DEF with
m∠E = 2 · m∠F
and
EF = 14radical 3
Find: DE and DF

Click here to see answer by greenestamps(13200) About Me 

Question 1193674: In right triangle XYZ, XY = 6 and YZ = 8
If V is the midpoint of
YZ and m∠VWZ = 90°, find VW.

Click here to see answer by greenestamps(13200) About Me 

Question 1193675: A rectangle has base length
x + 11,
altitude length
x + 7,
and diagonals of length
4x
each. What are the lengths of its base, altitude, and diagonals?

Click here to see answer by greenestamps(13200) About Me 
Question 1193675: A rectangle has base length
x + 11,
altitude length
x + 7,
and diagonals of length
4x
each. What are the lengths of its base, altitude, and diagonals?

Click here to see answer by Solver92311(821) About Me 

Question 1193677: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
Use the theorem to find RV if
SV = 6 and VT = 16.
RV =

Click here to see answer by greenestamps(13200) About Me 

Question 1193673: Given:
△MNQ is equiangular and NR = 8
NR bisects ∠MNQ
QR bisects ∠MQN
Find:NQ

Click here to see answer by greenestamps(13200) About Me 

Question 1193671: Given: right △DEF with m∠F = 30° and
FE = 18
Find: DF and DE
simplest radical form DF =
approximation DF=
simplest radical form DE=
approximation DE =

Click here to see answer by Solver92311(821) About Me 

Question 1193625: Given:
△MNQ is equiangular and NR = 8
NR bisects ∠MNQ
QR bisects ∠MQN
Find:NQ
exact NQ=
approximate NQ=

Click here to see answer by Solver92311(821) About Me 

Question 1193679: △ADE ~ △ABC.
Given: DE = 5, AD = 7, DB = BC
Find: AB
Let x represent the length of
DB and BC.
Write the length of
AB
as an expression involving x.
AB =

Write a proportion that can be used to solve for x.
5
7
=

Find x, the length of
DB and BC.
(Enter your answers as a comma-separated list.)
x =

Find AB. (Enter your answers as a comma-separated list.)
AB =

Click here to see answer by Solver92311(821) About Me 

Question 1193681: the segment joining A(-3, "-2)" and B(-1/2 , 3) is extended to a distance equal to 1/5 of its own length. find the new end point closest to point A
Click here to see answer by Boreal(15235) About Me 

Question 1193689: Angle S is the right angle. Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.
Given: right △RST with
RT = 8radical 2
and m∠
STV = 150°
Find: RS and ST
simplest radical form RS =

approximation RS =
simplest radical form ST =

approximation ST =

Click here to see answer by MathLover1(20850) About Me 

Question 1193680: the segment joining A(-3, "-2)" and B(-1/2 , 3) is extended to a distance equal to 1/5 of its own length. find the new end point closest to point A
Click here to see answer by greenestamps(13200) About Me 

Question 1193682: Use the equation and apply the Means-Extremes Property to find YZ.
9/4=NP/XY=8/YZ=MQ/WZ
YZ=?

Click here to see answer by ikleyn(52787) About Me 

Question 1193688: Angle D is the right angle.Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.
Given: right △DEF with
m∠E = 2 · m∠F
and
EF = 14
3
Find: DE and DFsimplest radical form DE =

approximation DE =
14

simplest radical form DF =

approximation

Click here to see answer by Alan3354(69443) About Me 

Question 1193784: For the 30°-60°-90° triangle shown, suppose that
XY = 2a.
Find XZ and YZ

Click here to see answer by ikleyn(52787) About Me 

Question 1193783: For the 45°-45°-90° triangle shown, suppose that
AB = a radical 2
Find AC,and BC

Click here to see answer by ikleyn(52787) About Me 

Question 1193782: Given: right △DEF with m∠F = 30° and
FE = 18
Find: DF and DE in simplest radical form and approximation.

Click here to see answer by ikleyn(52787) About Me 

Question 1193785: Given: isosceles trapezoid MNPQ with QP = 18 and m∠M = 120°
the bisectors of ∠s MQP and NPQ meet at point T on MN
Find: the perimeter of MNPQ

Click here to see answer by greenestamps(13200) About Me 

Question 1193781: Given: right △DEF with
m∠E = 2 · m∠F
and EF = 14 radical 3
Find: DE and DF in simplest radical form and approximation

Click here to see answer by josgarithmetic(39617) About Me 

Question 1193618: Given: right △DEF with m∠F = 30° and
FE = 18
Find: DF and DE
△D E F is given. ∠D is a right angle.
simplest radical form DF =

approximation DF =
simplest radical form DE =

approximation DE =

Click here to see answer by ikleyn(52787) About Me 

Question 1193807: Given:
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find: DB in simplest radical form

Click here to see answer by josgarithmetic(39617) About Me 

Question 1193804: C is the right angle For the 45°-45°-90° triangle suppose that AB = a radical 2
Find AC and BC

Click here to see answer by josgarithmetic(39617) About Me 

Question 1193808: Given:
rhombus ABCD (not shown) in which diagonals AC and DB intersect at point E
DB = AB = 6
Find: AC in simplest radical form

Click here to see answer by josgarithmetic(39617) About Me 
Question 1193808: Given:
rhombus ABCD (not shown) in which diagonals AC and DB intersect at point E
DB = AB = 6
Find: AC in simplest radical form

Click here to see answer by ikleyn(52787) About Me 

Question 1193805: Angle Z is the right angle.For the 30°-60°-90° triangle suppose that XY = 2a.
Find XZ AND YZ

Click here to see answer by josgarithmetic(39617) About Me 
Question 1193805: Angle Z is the right angle.For the 30°-60°-90° triangle suppose that XY = 2a.
Find XZ AND YZ

Click here to see answer by ikleyn(52787) About Me 

Question 1193778: Given: rhombus ABCD (not shown) in which diagonals AC and DB intersect at point E
DB = AB = 6 Find: AC in simplest radical form and approximation

Click here to see answer by Boreal(15235) About Me 

Question 1193779: Given:
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find:DB in simplest radical and approximation

Click here to see answer by Boreal(15235) About Me 

Question 1193621: Given: △ABC with m∠A = m∠B = 45° and
BC = 5
Find: AC and AB
simplest radical form AC =

approximation AC =
simplest radical form AB =

approximation AB =

Click here to see answer by Boreal(15235) About Me 

Question 1193619: Given: right △DEF with
m∠E = 2 · m∠F and EF = 14radical 3
Find: DE and DF
△D E F is given. ∠D is a right angle.
simplest radical form DE =

approximation DE =
simplest radical form DF =

approximation DF =


Click here to see answer by Boreal(15235) About Me