Right triangles in real life and in boxes

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. Read this first

   Use this

   3 × 3 = ?, 4 × 4 = ?, add the two squares = ?, then ? × ? = that sum, the same whole number in both boxes.

2. 1.

   Esme sticks a strip of tape corner to corner across a window 3 feet wide and 4 feet tall. How long is the tape, in feet?

   5
3. 2.

   Jun measures an old TV screen: 9 inches tall and 12 inches wide. Screens are measured corner to corner. How long is this screen's diagonal, in inches?

   15
4. 3.

   Kira's school garden is a rectangle 5 meters by 12 meters, with a straight path from one corner to the opposite corner. How long is the path, in meters?

   13
5. 4.

   Luz's classroom rug is a rectangle 6 feet by 8 feet. A sleepy cat stretches across it corner to corner. How far is it from corner to corner, in feet?

   10
6. 5.

   A 5-foot rope runs from the top of Noah's tent pole to a peg 3 feet from the pole. How tall is the pole, in feet?

   4
7. 6.

   Pia flies a kite on 10 meters of string, standing 6 meters from the spot right under the kite. How high is the kite, in meters?

   8
8. 7.

   Ren's old TV screen measures 20 inches corner to corner, and it is 16 inches wide. How tall is the screen, in inches?

   12
9. 8.

   A 25-foot ladder leans on a wall with its foot 7 feet out. Zee calls the height up the wall h. Which equation fits the story?

   • 7² + 25² = h²
   • 7² + h² = 25²
   • 7 + h = 25
10. 9.

    Ari cuts straight across a rectangular lawn that is 20 meters by 21 meters. The path across is d meters long. Which equation fits the story?

    • 20² + 21² = d²
    • d² + 20² = 21²
    • 20 + 21 = d
11. 10.

    Bo's kite string is 41 meters long, and the kite is 40 meters across the field from Bo. The kite's height is h. Which equation fits the story?

    • 40² + 41² = h²
    • 40 + h = 41
    • 40² + h² = 41²