Find the missing side of the right triangle.

Question

asked Oct 17, 2023 164k views

1 Answer

Ilya Sabanin · Answer 1 · 2023-10-22T17:58:57+0000

Answer :

$\:$

Step-by-step 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,

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

Here,

$\:$

So, substituting the values in the formula we get :

$\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^(2)= (7) {}^(2) + (8 {)}^(2) }}} \\$

$\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^(2)=49 +64}}} \\$

$\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^(2)=113 }}} \\$

$\\ {\longrightarrow \pmb{\sf {\qquad x= √(113) }}} \\$

$\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\$

Therefore,