Question

Someone help. I don’t understand the question.

Answer 1

• 9.9

`\:`

Explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

`\\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^(2) + (Perpendicular {)}^(2) = (Hypotenuse {)}^(2) }}} \\ \\`

Here,

• The base is 13.2

• The perpendicular is a

• The hypotenuse is 16.5

`\:`

So, substituting the values in the formula we get :

`\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^(2) + (a {)}^(2) = (16.5) {}^(2) }}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^(2) = 272.25 }}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad (a {)}^(2) = 272.25 -174.24}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad (a {)}^(2) = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = √(98.01)}}} \\ \\`

`{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\`

Therefore,

• The length of the missing side of the right triangle is 9.9