Question

Triangle ABC has a perimeter of 22cm.

AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle

Answer 1

Explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem