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CanadaON
Grade 8

8.04 Applications of the Pythagorean theorem

Interactive practice questions

The screen on a handheld device has dimensions $9$9 cm by $5$5 cm, and a diagonal of length $x$x cm.

What is the value of $x$x?

Round your answer to two decimal places.

Easy
1min

Glen’s car has run out of gas. He walks $8$8 km west and then $6$6 km south looking for a gas station.

If he is now $h$h km directly from his starting point, find the value of $h$h.

Easy
1min

Fred and Carl are playing football together. At one point in the game, they are near the same corner of the field. Fred is on the goal line, $11$11 m away from the corner, while Carl is on the side line, $17$17 m away from the corner.

If the straight line distance between the two players is $d$d m, find the value of $d$d, rounding your answer to two decimal places.

Easy
1min

A soft drink can has a height of $11$11 cm and a radius of $4$4 cm.

Find $L$L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can).

Give your answer rounded down to the nearest cm, to ensure it fits inside the can.

Medium
2min
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Outcomes

8.E2.3

Solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas.

8.E2.4

Describe the Pythagorean relationship using various geometric models, and apply the theorem to solve problems involving an unknown side length for a given right triangle.

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