Right triangles in real life and in boxes

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   To cross the playground, Noah can walk 8 meters along the fence and 11 meters along the wall, or cut straight across. To the nearest tenth of a meter, how much does cutting across save?

   5.4
2. 2.

   Pia's trail map shows a 5-kilometer trail and an 11-kilometer trail meeting at a square corner, plus a straight shortcut. To the nearest tenth of a kilometer, how much shorter is the shortcut?

   3.9
3. 3.

   In the park, Ren could walk 7 meters and then 8 meters around the pond's fenced corner, or take the straight boardwalk. To the nearest tenth of a meter, how much shorter is the boardwalk?

   4.4
4. 4.

   Tala wants the longest pencil that fits in a box, lying from a bottom corner to the opposite top corner. How long is that box diagonal, in inches?

   13
5. 5.

   Zee packs a rolled poster in a long box, corner to opposite corner, so it fits snugly. How long is the box's diagonal, in inches?

   26
6. 6.

   Ari wraps a gift box and wonders how long a straw would fit, from a bottom corner to the opposite top corner. How long is that diagonal, in inches?

   17
7. 7.

   The front of Esme's tent is a triangle with two equal sloping sides of 5 feet and a base 8 feet wide. How tall is the tent at its middle, in feet?

   3
8. 8.

   A small house on Jun's street has a roof with two equal sloping sides of 13 feet over a 24-foot-wide base. How tall is the roof at its peak, in feet?

   5
9. 9.

   Each slanted leg of Kira's swing set frame is 10 feet long, and the two legs stand 12 feet apart on the ground. How tall is the frame, in feet?

   8
10. 10.

    Luz opens a stepladder: each leg is 5 feet long, and the feet stand 6 feet apart on the floor. How tall does the stepladder stand, in feet?

    4