Pythagorean Theorem Quiz

Noah is building a rectangular garden and wants to ensure the corners are right angles. He uses a rope to measure the sides. If he applies the Pythagorean Theorem, which formula should he use?

Tags

CCSS.HSG.SRT.C.8

• 10

• 5

Tags

CCSS.HSG.GPE.B.7

Elijah and Kai are planning to build a small garden in their backyard, which is shaped like a square with side length 4 units. To maximize the space, they decide to place a diagonal path across the garden. Using the Pythagorean Theorem, can you help them figure out the length of the diagonal path they need to construct?

• 2.8 units

• 8 units

• 16 units

• 5.7 units

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

What is the length of the hypotenuse in a right-angled triangle if the lengths of the other two sides are 8 units and 15 units?

• 15 units

• 17 units

• 23

Tags

CCSS.HSG.SRT.C.8

Grace is helping Avery build a ramp for Maya's new shed. If the ramp is to be 13 units long (hypotenuse) and rises 5 units in height, what is the horizontal length (the base) of the ramp?

• 8 units

• 12

• 14 units

Tags

CCSS.HSG.SRT.C.8

How can the Pythagorean Theorem be used in relation to a baseball diamond?

• To calculate the distance between second and home base

• To determine the number of players on the field

• To predict the outcome of the game

• To measure the height of the stadium lights

If the 2nd baseman must throw a ball from 2nd base to home, what is the length of that throw?

If the 3rd baseman must throw the ball to 1st base, how far would he/she have to throw the ball? Defend how your process for solving this task is most efficient. (As you defend your answer, identify the triangle, legs and hypotenuse of the throw.)

Answer explanation

Did you solve for the distance from second base to home? How is the distance from first to third related to the distance from second to home?