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.
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?
Read this first
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?
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?
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?
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?
- 7² + 25² = h²
- 7² + h² = 25²
- 7 + h = 25
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
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
- 7 + 24 = s
- s² + 7² = 24²