Question

A right triangle has legs of 6 and x, and a hypotenuse of r. if 5r = 5x + 9, what is the value of r + x?

Answer 1

Answer:

Value of r + x = 20

Explanation :

We have a right angled triangle whose sides are:

First side  = 6

Second side  = x

Hypotenuse = r

and given that a relation between x & r. that is,

5r = 5x + 9

Now simplify

5(r-x) = 9

r - x = $\frac{9}{5}$ ----------------------------  (1)

NOw we use the pythagoras theorem.

r² = x² + 6²   ⇒  r² - x² = 36

(r - x)(r + x) = 36

r + x = $\frac{36}{r - x}$

we know the value of r-x . put the value of r- x

We get ,

r + x = 20

That's the final answer.

I hope it will help you.