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13 votes
A triangle has sides with lengths of 5 centimeters, 12 centimeters, and 15 centimeters. Is it a right triangle

2 Answers

5 votes

Answer:

No, it is not a right triangle.

Explanation:

You can determine whether a triangle is a right triangle by using the pythagorean theorem.

a^2 + b^2 = c^2

c will always be the longest side of the triangle, so in this case you need to substitute 5 and 12 in for a and b and see if it simplifies to 15.

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

c = 13

C would be 13, not 15, so the triangle is not a right triangle

Hope that helps! :))

User Danmichaelo
by
4.4k points
6 votes

Answer:

No

Explanation:

You use the Pythagorean Therom and square your legs (5 and 12) and your hypotenuse (14) it would add up to 25+144=196.

This is not true since 144+25 is 169, not 196

User Jaywayco
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4.3k points