What is the value of x? 12 units 15 units 20 units 25 units

Question

asked Aug 11, 2020 228k views

2 Answers

Rcty · Answer 1 · 2020-08-17T16:22:31+0000

Answer:

The answer is 12 units.

Explanation:

Looking at the figure we see that

(1).9^2+x^2=SR^2

(2).16^2+x^2=RQ^2 and

(3).SR^2+RQ^2=(9+16)^2

Now from equations (1) and (2) we have values for
SR^2 and
RQ^2, so we put those into the equation (3) and get:

9^2+x^2+16^2+x^2=(9+16)^2

$\rightarrow 337+2x^2=625$

$\boxed{\therefore x= 12.}$

Therefore the answer is 12 units.