Question

A triangle with sides of lengths 9,22 and 24 is a right triangle True or false

Answer 1

False

Explanation:

Test this theory by using the pythagorean theorem.

for a right triangle with sides a, b and c

if c is they hypotenuse (i.e longest side) then the following must be true:

a² + b² = c² or c = √(a² + b²)

in this case, we assume the longest side to be c=24

also assume a=9 and b = 22

√ (a² + b² )

= √ (9² + 22² )

= √(81 + 484)

= √565

= 23.77 (close but NOT quite 24)

Hence this is NOT a right triangle.

Answer 2

False

Explanation:

If the triangle is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + 22^2 = 24^2

81+484=576

565 = 576

This is false, so the triangle is not a right triangle