94.3k views
0 votes
Will the lengths 36 48 and 60 centimeters form a right triangle ?

User Freeo
by
7.9k points

2 Answers

2 votes
Yes they would form a right triangle because by the triangle inequality, a triangle can be formed from three segments of which the sum of the lengths of the two shorter ones exceed the longest segment.

Here we have 36+48=84>60, so the three segments form a triangle

Since the ratio of the sides are 36:48:60 form the ratio of 3:4:5, which is exactly the ratio of a right triangle, we conclude that the triangle is a right triangle

User Starhusker
by
7.5k points
4 votes

Answer:

yes

Explanation:

These lengths are in the ratio 3 : 4 : 5, so will form a right triangle. (You are familiar with a 3-4-5 right triangle, of course.)

__

If you want to check, you can see if these numbers satisfy the Pythagorean theorem:

36² + 48² = 60²

1296 + 2304 = 3600 . . . . . true

The given lengths satisfy the Pythagorean theorem, so will form a right triangle.

User Gilad
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories