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)
8.) 5cm 12cm, 14cm
7.)
9m 4m 5m

Answer 1

Answer: 7) No 8) No

Explanation:

According to the Pythagoras theorem of the right triangle,

Square of largest side = Sum of square of other two sides.

8) Given sides: 5cm, 12cm, 14cm

Here, Largest sides = 14 cm

`5^2+12^2=25+144=169\\eq14^2 \ \ \ [14^2=196]`

These sides do not represent a right triangle.

7) Given sides: 9m, 4m, 5m

Largest side = 9 m

`4^2+5^2=16+25=49\\eq 9^2 \ \ \ \ \ [9^2=81]`

These sides do not represent a right triangle.