Question

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm, is a right triangle?

Answer 1

The Pythagorean Proposition can help you explain this:
${a}^{2} = {b}^{2} + {c}^{2} \\ {13}^{2} = {5}^{2} + {12}^{2} \\ 169 = 25 + 144$

Answer 2

Answer:

Let first side= 5 cm

second side= 12 cm

third side = 13 cm

To prove this triangle to be right angle triangle, we need to prove Pythagoras Theorem

$5^{2}$=25

$12^{2}$=144

$13^{2}$=169

169= 25+144

169=169

According to Pythagoras theorem ,

$p^{2}$+$b^{2}$=$h^{2}$

since, it follows Pythagoras theorem,

Hence, it is a Right angle Triangle