Question

ΔBAC-ΔDEC
What is the value of x?
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Answer 1

The value of x is 37.8

Step-by-step explanation:

Given that,

The two triangles ΔBAC andΔDEC are similar.

step 1 :

Since two triangles are similar, their sides are proportional to each other.

AB / DE = AC / CE

step 2 :

Substitute AB= 15, DE= 31.5, AC= 18 and CE= x

15 / 31.5 = 18 / x

step 3 :

x = (18 $\times$ 31.5) / 15

x = 567 / 15

x = 37.8