Question

Help ME PLZ

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answer 1

x ≈ 13.60

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 11² = 64 + 121 = 185 ( take the square root of both sides )

x =
`√(185)` ≈ 13.60 ( to the nearest hundredth )

Answer 2

The value of x = 13.60 units.

Explanation:

Given

a = 8

b = 11

To determine

c = x = ?

Pythagorean Theorem

For a right-angled triangle with sides a, b and c, the hypotenuse 'c' is defined as:

`c=√(a^2+b^2)`

substituting a = 8, b = 11, and c = x

`x=√(8^2+11^2)`

as 8²=64 and 11²=121

so

`x=√(64+121)`

`x=√(185)`

`x = 13.60` units

Therefore, the value of x = 13.60 units.