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What is the length of the hypotenuse of the triangle?

What is the length of the hypotenuse of the triangle?-example-1
User NiYanchun
by
8.7k points

2 Answers

3 votes

pythagorean theorem

for a right triangle with legs (2 sides next to the the right angle) length a and b, and hyptonuse (longest side oposite right angle) is c


a^2+b^2=c^2


we can see that the legs are 3cm and 7cm

so a=3 and b=7 (you can do a=7 and b=3 but it doesn't matter)


a^2+b^2=c^2


3^2+7^2=c^2


9+49=c^2


58=c^2

sqrare root both sides


√(58)=c


c=√(58)

answer is 4th option

User LostMohican
by
8.4k points
4 votes

Essentially, we just use the pythagorean theorem to solve:

7^2 + 3^2 = c^2

49 + 9 = c^2

58 = c^2

c = sqrt 58

The answer is Option D.


User Justin Mathew
by
8.4k points

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