Question

Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9

Answer 1

x = 5√3 inches

Explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

`{a}^(2) = {b}^(2) + {c}^(2)`

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

`{10}^(2) = {5}^(2) + {x}^(2)`

`{x}^(2) = {10}^(2) - {5}^(2)`

`{x}^(2) = 100 - 25`

`{x}^(2) = 75`

We have the final answer as

x = 5√3 inches

Hope this helps you