Question

These two triangles are similar.

Find the product of x and y.
A
21
C
18
X
B
D
y
x • y = [?]
12
10
E
Enter

Answer 1

210

Explanation:

You want the product of x and y given similar triangles with side ratios ...

• x : 18 : 21
• 10 : 12 : y

Proportional

Corresponding sides in similar triangles are proportional. This means ...

x/10 = 21/y

xy = 210 . . . . . . . cross multiply

The product of x and y is 210.

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Additional comment

Sides in the larger triangle are 3/2 times those in the smaller triangle. This means x = 15, y = 14.

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