Triangle Side Length Problems

The video tutorial covers the Pythagorean theorem, its converse, and special right triangles. It begins with an introduction to the theorem, followed by solving for the hypotenuse and a leg in right triangles. The tutorial then addresses complex problems involving multiple triangles and applies the theorem to word problems. Finally, it explores special right triangles, specifically 45-45-90 and 30-60-90 triangles.

What is the formula for the Pythagorean Theorem?

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = 2c^2

If the legs of a right triangle are 20 and 10, what is the hypotenuse?

• 30.00

• 15.00

• 25.00

• 22.36

Given a right triangle with legs 10 and hypotenuse 14.5, find the other leg.

• 11.5

• 12.5

• 10.5

• 9.5

In an isosceles right triangle with legs of 15 and 33, what is the hypotenuse?

• 35.00

• 36.25

• 40.00

• 30.00

How do you find the missing side in a triangle with sides 16 and 25?

• Use the Triangle Inequality

• Use the Law of Cosines

• Use Pythagorean Theorem

• Use the Law of Sines

A library is 2 miles west and a zoo is 6 miles north of a post office. What is the distance from the post office to the zoo?

• 6.32 miles

• 8.00 miles

• 7.00 miles

• 5.00 miles

How do you determine if a triangle is acute, obtuse, or right using the Pythagorean Converse?

• Compare c^2 with a^2 + b^2

• Compare a^2 with b^2 + c^2

• Compare b^2 with a^2 + c^2

• Compare a^2 + b^2 with c^2

In a 45-45-90 triangle, if one leg is 8, what is the hypotenuse?

• 8

• 16

• 12

• 8√2

In a 30-60-90 triangle, if the shorter leg is 11, what is the hypotenuse?

• 22

• 11√3

• 33

• 11

What is the longer leg in a 30-60-90 triangle if the shorter leg is 8?

• 8√3

• 16

• 8

• 12