Right triangles in real life and in boxes
Grade 8 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Read this first
Use this
3 × 3 = ?, 4 × 4 = ?, add the two squares = ?, then ? × ? = that sum, the same whole number in both boxes.
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?
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?
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?
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?
Ren's old TV screen measures 20 inches corner to corner, and it is 16 inches wide. How tall is the screen, in inches?
On Tala's small sailboat, a 10-foot rope runs from the top of the mast to the deck, 8 feet from the mast. How tall is the mast, in feet?
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?
- 7 + h = 25
- 7² + h² = 25²
- 7² + 25² = h²
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?
- d² + 20² = 21²
- 20² + 21² = d²
- 20 + 21 = d
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
Esme's toy TV screen is 7 inches tall and 24 inches wide, very wide indeed. The diagonal is s inches. Which equation fits the story?
- 7² + 24² = s²
- s² + 7² = 24²
- 7 + 24 = s