Question

Is 13 cm, 14 cm, and 15 cm a right triangle?

Answer 1

The lengths of 13 cm, 14 cm, and 15 cm do not satisfy the Pythagorean theorem and therefore cannot form a right triangle.

Step-by-step explanation:

To determine if the given lengths of 13 cm, 14 cm, and 15 cm can form a right triangle, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The Pythagorean theorem is written as a² + b² = c².

Let's check the lengths 13 cm, 14 cm, and 15 cm:

Let the sides a and b be 13 cm and 14 cm respectively, and c be the longest side, 15 cm. We plug the values into the theorem:

• 13² + 14² = 15²
• 169 + 196 = 225
• 365 = 225

Since 365 is not equal to 225, the lengths 13 cm, 14 cm, and 15 cm do not satisfy the Pythagorean theorem and therefore cannot form a right triangle.

Answer 2

Not a triangle

Step-by-step explanation:

First you have to use the Pythagorean theorem

a^2 +b^2=c^2

13^2+14^2=15^2

13*13=169

14*14=196

15*15=225

169+196=225 is not true

This IS NOT a right triangle

I hope this helps!