Finding Missing Sides in Right Triangles

This video tutorial covers the Pythagorean theorem and its converse, demonstrating how to find missing sides of right triangles. It includes examples of solving for both legs and hypotenuses, with solutions in both decimal and simplest radical forms. The video concludes with a summary and encourages viewers to engage with the content.

What is the Pythagorean Theorem used for in geometry?

• Calculating the area of a circle

• Finding the relationship between the sides of a right triangle

• Determining the volume of a cube

• Measuring the circumference of a rectangle

In a right triangle, if one leg is 12 inches and the hypotenuse is 13 inches, what is the length of the other leg?

• 7 inches

• 9 inches

• 10 inches

• 5 inches

If a right triangle has legs of 3 miles and 4 miles, what is the length of the hypotenuse?

• 6 miles

• 5 miles

• 8 miles

• 7 miles

Given a right triangle with a hypotenuse of 14.7 km and one leg of 11.9 km, what is the length of the other leg?

• 7.8 km

• 8.6 km

• 9.5 km

• 10.2 km

In a right triangle, if one leg is 6.3 miles and the hypotenuse is 15.4 miles, what is the length of the other leg?

• 14.1 miles

• 12.5 miles

• 13.7 miles

• 11.9 miles

What is the simplest radical form of the missing side in a triangle with sides 13 yards and 15 yards?

• 2√14 yards

• 3√14 yards

• 5√14 yards

• 4√14 yards

If a right triangle has a hypotenuse of 16 km and one leg of 8 km, what is the simplest radical form of the other leg?

• 6√3 km

• 7√3 km

• 5√3 km

• 8√3 km

In a right triangle, if one leg is 11 meters and the hypotenuse is 15 meters, what is the simplest radical form of the other leg?

• 4√26 meters

• 3√26 meters

• 5√26 meters

• 2√26 meters

What is the simplest radical form of a side in a triangle with a leg of √6 and a hypotenuse of 4?

• √12

• √14

• √10

• √16

What is the missing side length in simplest radical form for a triangle with sides √6 and 4?

• √8

• √12

• √10

• √14