Section 2.15 Interactive Notes Activity

Section 2.15 Three of a Kind: The Pythagorean Theorem

GOAL: To be able to determine when you can use the Pythagorean Theorem to find an unknown length.

The Theorem

• A 90^o angle is a RIGHT angle.

• Need a right angle to use the Pythagorean theorem

• Any rectangle can be turned into 2 right triangles that have the same dimensions.

• Another way to think about this: (short leg)² + (middle length leg)²=(longest leg)²

Fill in the Blanks

Find the third value that completes the Pythagorean triple; 30, 40,

.

Fill in the Blanks

Find the third value that completes the Pythagorean triple; 14, 48,

.

Multiple Choice

At John's school, there is a rectangular patch of grass called the quad that measures 350 feet by 520 feet. John needs to walk from one corner to the corner diagonally opposite him. He can walk along the sidewalks that line the perimeter of the quad, or he can cut across the quad in a straight line. Find the distance he travels if he cuts across the quad.

• 384.6 ft

• 29.5 ft

• 626.8 ft

• None of these

Multiple Choice

At John's school, there is a rectangular patch of grass called the quad that measures 350 feet by 520 feet. John needs to walk from one corner to the corner diagonally opposite him. He can walk along the sidewalks that line the perimeter of the quad, or he can cut across the quad in a straight line. What is the difference between the possible two paths.

• 465.4 ft

• 243.2 ft

• 223.2 ft

• None of these

Fill in the Blanks

Same information - a quad with dimensions of 350 by 520. If John walks at 3 ft/second. How much time does he save cutting across the quad as opposed to walking around it? John would save

minutes. Round your solution to two decimal places if necessary.

Multiple Choice

A right triangle has two legs that measure 10 feet each. Which of the following represents the length of the hypotenuse? The hypotenuse is the longest side.

• 20 ft

• 4.5 ft

• 9 ft

• 14.14 ft

Fill in the Blanks

The hypotenuse of a right triangle has a length of 15 cm. The shortest leg has a length of 8 cm. The length of the third leg is

cm. Round your answer to the nearest hundredth.

Fill in the Blanks

Jack has instructions for building a skateboard ramp and he needs to build a triangular frame on which to nail the ramp board. A 4 foot by 8 foot piece of plywood will serve as the ramp and Jack wants the plywood oriented so that the ramp is as long as possible. He wants the height of the ramp to be 2 feet tall. The length of the bottom of the frame will need to be

feet long. Round to the nearest tenth of a foot.

QUESTIONS???

Ask now - otherwise head to MyMathLab and begin your independent practice!