Grade 8 · Math

8th grade Right triangles in real life and in boxes worksheet

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Right triangles in real life and in boxes

Grade 8 Math Worksheet

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

Jun's old TV screen is 12 inches tall and 16 inches wide. Screens are measured corner to corner. How long is its diagonal, in inches?
Luz's kite flies 35 meters up, right above a spot 12 meters across the field. The string is pulled straight. How long is the string, in meters?
Milo's class rolls out a rug 8 feet by 15 feet for story time. How far is it from one corner to the opposite corner, in feet?
A 17-foot ladder leans against the gym wall with its foot 8 feet from the wall. Noah holds it steady. How high up the wall does it reach, in feet?
Zee's little TV screen is 15 inches corner to corner and 12 inches wide. How tall is the screen, in inches?
Ari's kite flies 9 meters up, above a spot 5 meters away across the field. To the nearest tenth of a meter, how long is the string?
Bo's flower garden is 7 meters by 10 meters, with a path straight from corner to corner. To the nearest tenth of a meter, how long is the path?
Jun flies a kite on 11 meters of string, standing 4 meters from the spot right under it. To the nearest tenth of a meter, how high is the kite?
Kira holds a 12-foot ladder against a fence, its foot 4 feet from the fence. To the nearest tenth of a foot, how high up the fence does it reach?
An 8-foot rope runs from the top of Luz's tent pole to a peg 3 feet away. To the nearest tenth of a foot, how tall is the pole?

8th grade Right triangles in real life and in boxes worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Right triangles in real life and in boxes. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the right triangle in a story: a ladder on a wall, a kite string, a TV screen, a path across a field.
I can find the missing side, whole or to the nearest tenth, and say which side is the hypotenuse.
I can find how much a shortcut saves, how tall a tent or roof is, and how long a box's diagonal is.

Standard: 8.G.B.7 (real-world, two and three dimensions)

Words to know

right angle: A square corner, like where a wall meets the ground.

hypotenuse: The side across from the right angle; the longest side.

diagonal: A straight line from one corner to the opposite corner.

sketch: A quick drawing of the story's triangle with the right angle marked.

floor diagonal: The line across the bottom of a box, corner to corner.

box diagonal: The line from a bottom corner to the opposite top corner.

Common mistakes

Your child added the lengths of the sides to get the long side. In a right triangle the squares on the short sides add up to the square on the long side; the lengths do not.

Your child found the area of the square on the missing side but gave that area as the length. The length is the number that times itself makes the area.

Your child subtracted one length from another to get a missing short side. The square on the long side minus the square on the known short side gives the missing square. Try a 5-foot rope and a 3-foot gap: 5 − 3 is 2, but the pole is 4 feet.

What to say

Ask: can the shortcut be as long as walking around?

Ask: which number times itself makes it?

Questions parents ask

What is the most common mistake with right triangles in real life and in boxes?

Your child added the lengths of the sides to get the long side. In a right triangle the squares on the short sides add up to the square on the long side; the lengths do not.

How can I help my child with right triangles in real life and in boxes?

Ask: can the shortcut be as long as walking around?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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