Mathematics: Which side lengths form a right triangle? Choose all answers that apply: A 5, V6, V31 B 15, 5,50 C 9, 12,15

1162-46+7=112352+86-9=1291123-129= 994 994...

Which side lengths form a right triangle? Choose

damienlopezram

15.05.2021

$(a)\ 5, \sqrt 6, \sqrt{31$

$(c)\ 9, 12, 15$

Step-by-step explanation:

Required

Side lengths that form a right triangle

Applying Pythagoras theorem

a^2 = b^2 + c^2

Where a is the longest side.

So, we have:

$(a)\ 5, \sqrt 6, \sqrt{31$

$(\sqrt{31})^2 = 5^2 + (\sqrt 6)^2$

31 = 25 + 6

31 = 31

This forms a right triangle

$(b)\ \sqrt 5, \sqrt 5, 50$

$50^2 = (\sqrt 5)^2 + (\sqrt 5)^2$

2500 = 5 + 5

$2500 \ne 10$

This does not form a right triangle

$(c)\ 9, 12, 15$

15^2 = 12^2 + 9^2

225 = 144 + 81

225 = 225

This forms a right triangle

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