Question

Determine if the lengths of the sides of a triangle create a 'right, acute, or obtuse' triangle.

Answer 1

ANSWER

These three side lenghts form a right triangle

EXPLANATION

If the triangle is a right triangle, the side lenghts must satisfy the Pythagorean theorem. In a right triangle, the hypotenuse is always the longest side. Therefore, if it is a right triangle, the sum of the squares of the shorter sides must be equal to the square of the longest side:

$\begin{gathered} 74^2=70^2+24^2 \\ 5476=4900+576 \\ 5476=5476 \end{gathered}$

Therefore, this is a right triangle.