Question

Find the value of X to the nearest tenth.
Answer options: 10.5, 9.9, 10.1, 8.9.

Answer 1

9.9

Explanation:

To find the value of x, we use the Pythagorean Theorem.

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

a = x

b = 15

c = 18

`x^(2)+15^(2)=18^(2)`

`x^(2) + 225 = 324`

`x^(2)=342-225`

`x^(2)=99`

`\sqrt{x^(2) }=√(99)`

`x=9.95`

Answer 2

9.9

Explanation:

Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;

x^2 = 18^2 - 15^2

x^2 = 99

x = sqrt(99) = 9.9