SOLUTION: There are two triangles. One is XZY and the other is QRS. Triangle XZY has a height of 15 (ZW) and triangle QRS has a height of 8(RT). (The zw and rt are the names of the line (h)
Algebra.Com
Question 1114153: There are two triangles. One is XZY and the other is QRS. Triangle XZY has a height of 15 (ZW) and triangle QRS has a height of 8(RT). (The zw and rt are the names of the line (h) going through the triangle). If the area of triangle QRS is 145 cm^2, find the area of triangle XZY.
Answer options:
1. 509.77
2. 513.26
3. 510.98
4. 503.94
My thinking process:
I got 509.77 as my answer but was not sure if it was correct or if I just guessed lucky. Thank you for your help in advance!
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If B is the base for triangle XYZ
then .
If b is base for triangle QRS
then as given its area.
-
Assuming these are similar triangles,
Area of triangle XYZ:
or about 509.77.
NOT the only way to solve. There is a linear-to-area property for plane figures.
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
As formulated and presented, this post makes no sense.
RELATED QUESTIONS
I have 2 triangles in a trapezoid. there is an "X" in the trapezoid coneecting corners... (answered by psbhowmick)
In right triangle QRS, m∠Q = 90°, RS = 13 units, and RQ = 5 units.
What is the... (answered by Fombitz)
I have a problem I need help with. I have two similar triangles that are stacked on top... (answered by josgarithmetic)
Two triangles are similar. The first triangle has a base length of 3 inches and a height... (answered by KMST)
There are two similar right triangles.
The larger triangles hypotenuse is 15 and a leg... (answered by J2R2R)
two right triangles have hypotenuses along the same line. Triangle L has a height of 27... (answered by ikleyn,amalm06)
In triangle QRS, the measure of angle Q = X, the measure of angle R = (8X-40), and the... (answered by ewatrrr)
triangle ACD is congruent to tiangle XZY, and DB and WY ARE medians.If DB=6 AB=6, WY=2x+1 (answered by khwang)
what is the measure of angle r if triangle abc and triangle qrs are similar to each other (answered by ikleyn)