Question

Which side is the hypotenuse for the sides, $89,39$ and $80$ in a right angled triangle? (Apply Converse of Pythagoras theorem).

• A. $89$
• B. $39$
• C. $80$
• D. $24$

Answer 1

The correct option is A $89$

Converse of Pythagorean Theorem states that:
In a triangle, if the square of one side is equal to the sum of the squares of the other two sides then the angle opposite to the first side is a right angle.
So, ${89}^2={39}^2+{80}^2$
$7921=1521+6400$
$7921=7921$
So, the sides will form a right angled triangle.
Hypotenuse is the longest side
Therefore, $89$ is the hypotenuse.