Applying the pythagorean theorem to find the missing length of a triangle

The video tutorial explains how to find the missing side of a right triangle using the Pythagorean theorem. It begins by identifying right triangles through the 90-degree symbol and explains the roles of the hypotenuse and other sides. The tutorial then demonstrates how to apply the Pythagorean theorem to solve for the missing side, using algebraic manipulation to find the value of x. The solution is left in its square root form without decimal approximation.

What is the key feature that helps identify a right triangle?

• Equal sides

• A 90-degree angle

• Parallel sides

• An obtuse angle

In a right triangle, what is the side opposite the 90-degree angle called?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

If a right triangle has sides a, b, and hypotenuse c, which equation represents the Pythagorean theorem?

• a^2 + c^2 = b^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a + b = c

What is the value of x if a right triangle has sides 2, x, and hypotenuse 5?

• x = √21

• x = 3

• x = 4

• x = 5

Why is the answer left in square root form in this example?

• To make calculations easier

• To avoid decimal approximation

• To match the given options

• To simplify the equation