Question

For the pair of similar triangles, find the value of x.

4.47
6
8.5
10

Answer 1

6

Explanation:

x/8 = 9/2x

2x² = 36

x = 6

Hence the required answer is 6

Answer 2

For similar triangles, all corresponding sides have the same ratio.

The corresponding sides face the corresponding angles

We can calculate lengths we don't know yet.

`\it (x)/(8) = (9)/(2x) \Rightarrow 2x\cdot x = 8\cdot9|_(:2) \Rightarrow x\cdot x= 4\cdot9\Rightarrow x\cdot x = 36 \Rightarrow x = 6`