Question

Part 3: Decide whether each set of lengths are sides of a right triangle, answer YES or NO. Show work

to support your answer. MGSE8.6.6 (8 points each)
7.)
9m, 4m, 5m
8.) 5cm, 12cm, 14cm

Answer 1

No

No

Explanation:

In a right angled triangle :

The square of the length of the longest side is equal to the sum of the squares of the two remaining sides : - Pythagoras

That is :

a² = b² + c² (condition must be satisfied).

9m, 4m, 5m

9² = 4² + 5²

81 = 16 + 25

81 ≠ 41 (not right angled)

5cm, 12cm, 14cm

14² = 12² + 5²

196 = 144 + 25

196 ≠ 169 (not right angled)