Question

What is x? If necessary, round to the nearest tenth (one decimal place):​

Answer 1

x = 10

Explanation:

Both right triangles are similar.

-> Corresponding sides of similar triangles are in proportion.

`\implies \: (x + 6)/(16) = (x)/(10) \\ \\ \implies \: 10(x + 6) = 16x \\ \\ \implies \: 10x + 60= 16x \\ \\ \implies \: 10x - 16x = - 60 \\ \\ \implies \: - 6x = - 60 \\ \\ \implies \: x = ( - 60)/( - 6) \\ \\ \implies \: x = 10`