Question

Help ME PLZ

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

Answer 1

Answer:

x ≈ 13.60

Step-by-step 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 = $\sqrt{185}$ ≈ 13.60 ( to the nearest hundredth )

Answer 2

Answer:

The value of x = 13.60 units.

Step-by-step 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:

$c=\sqrt{a^2+b^2}$

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

$x=\sqrt{8^2+11^2}$

as 8²=64 and 11²=121

so

$x=\sqrt{64+121}$

$x=\sqrt{185}$

$x = 13.60$ units

Therefore, the value of x = 13.60 units.