CPM Homework Help : INT2 Problem 5-114

Calculate the value of the variable in each pair of similar figures below.

$ABCD\sim JKLM$
Hint (a):
$\frac{6}{9} = \frac{12}{x}$

vertexA

top edge $12$

vertexB

left edge $6$

interior rectangle

$\space$

vertexD

vertexC

vertexJ

top edge $9$

vertexM

left edge $x$

interior rectangle

vertexK

vertexL

$ΔNOP \sim ΔXYZ$
Hint (b):
$\frac{3}{12}=\frac{5}{w}$

Two triangles. Triangle X, Y, Z, where side X, Z, is, 12 and side Y, Z, is, w. Triangle N, O, P, where side N, O, is, 4, side P, O, is, 5, side N, P, is, 3.

$ΔGHI \sim ΔPQR$
Hint (c):
$\frac{3}{7}=\frac{n}{16}$

Triangle G, H, I, where side G, I, is, 3 and side G, H, is, 7.

Triangle P, Q, R, where side P, Q, is, 16 and side P, R, is, n.

$ΔABC \sim ΔXYZ$
Answer (d):
$m = 7.7$

Two triangles. Triangle X, Y, Z, where side Z, X, is, 11 and side X, Y, is, m. Triangle A, B, C, where side B, C, is, 6, side C, A, is, 10, and side A, B, is, 7.