Right Triangle Concepts and Problems

This video tutorial covers the Pythagorean theorem, explaining how to calculate the hypotenuse and legs of right triangles. It includes examples of solving for missing sides and determining if a triangle is a right triangle. The video also addresses word problems, applying the theorem to real-world scenarios. Students are encouraged to reach out for further help if needed.

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

In a right triangle, which side is the hypotenuse?

• The side opposite the smallest angle

• The shortest side

• The longest side

• Any side

If the legs of a right triangle are 20 and 15, what is the length of the hypotenuse?

• 25

• 30

• 40

• 35

When given one leg and the hypotenuse, how do you find the missing leg?

• Multiply the given sides

• Subtract the square of the leg from the square of the hypotenuse

• Add the squares of the given sides

• Divide the hypotenuse by the leg

If one leg of a right triangle is 11 and the hypotenuse is 13, what is the length of the other leg rounded to the nearest hundredth?

• 9.21

• 6.93

• 7.00

• 8.54

How can you determine if three sides form a right triangle?

• Check if the longest side is greater than the sum of the other two sides

• Check if the sum of the squares of all three sides is zero

• Check if the sum of the squares of the two shorter sides equals the square of the longest side

• Check if the product of the three sides is a perfect square

Given sides 4, 7, and 8, do they form a right triangle?

• No

• Yes

• Only if the angle between 4 and 7 is 90 degrees

• Only if the angle between 7 and 8 is 90 degrees

If a building casts a shadow of 27 meters and the distance from the top of the building to the end of the shadow is 34 meters, how tall is the building?

• 20.7 meters

• 25.3 meters

• 30.1 meters

• 34.0 meters

What is the first step in solving a word problem involving a right triangle?

• Write down the Pythagorean Theorem

• Label the sides

• Draw the triangle

• Identify the hypotenuse

When solving for a side in a right triangle, why might you need to round your answer?

• To match the precision required by the problem

• To make the answer look nicer

• To avoid using decimals

• To simplify calculations