Use a proportion to find the missing side length in the similar figures. One triangle has the sides of 36cm and 21cm. The other has the side of 15cm.
Responses
A. x = 6 cm
B. x = 2.4 cm
C. x = 12 cm
D. x = 8.75 cm
To find the missing side length in the similar figures, we can set up a proportion between the corresponding side lengths of the two triangles.
Let x represent the missing side length. The proportion can be set up as:
(36 cm)/(21 cm) = (15 cm)/x
To solve for x, we can cross multiply:
36 cm * x = 21 cm * 15 cm
36x = 315 cm^2
Divide both sides by 36 cm:
x = (315 cm^2)/(36 cm)
x ≈ 8.75 cm
Therefore, the missing side length is approximately 8.75 cm.
The correct answer is: D. x = 8.75 cm