Question

Which set of measurements could be the side lengths of a triangle?

Answer 1

Step-by-step explanation:

Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 142 – 52 = 171.

Answer 2

Concept

A polygon having three number of sides with three vertex is known as triangle. The total is 180° of all  the interior angles.

Given

Side lengths of a triangle

Find

We are asked to find which set of measurements could be the side lengths of a triangle.

Solution

For a right triangle, the Pythagorean Theorem says that a2 + b2 = c2, where c is the hypotenuse and a and b are the smaller sides. When a = 5 and c = 14, the result is b2 = 142 – 52 = 171.