Question

I really need help me with all 8 questions. any help is greatly appreciated! :)

Answer 1

Given,

The measure of base of the triangle is 17.

The measure of Hypotenuse of the triangle is 19.

As, the triangle is right angled triangle.

By using Pythagoras theorem,

`(\text{perpendicular})^2=(\text{base})^2+(\text{perpendicular})^2`

Substituting the measure of the sides of the triangle,

`\begin{gathered} 19^2=17^2+(\text{perpendicular})^2 \\ (\text{perpendicular})^2=19^2-17^2 \\ (\text{perpendicular})^2=361^{}-289 \\ (\text{perpendicular})^2=72 \\ \text{perpendicular})^{}=√(72) \\ \text{perpendicular}=8.49 \end{gathered}`

Hence, the measure of the perpendicular of the triangle is 8.49 (approx).