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?
Use this
Strip under it: 13 × 13 = ?, 5 × 5 = ?, take the small square off the big one = ?, then ? × ? = that area, the same whole number in both boxes.
Milo helps steady a 13-foot ladder against the shed wall. Its foot is 5 feet from the wall. How high up the wall does the ladder reach, in feet?
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?
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?
- 20 + 21 = d
- 20² + 21² = d²
- d² + 20² = 21²
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 + h² = 41²
- 40² + 41² = h²
- 40 + h = 41