Topics
6. 2D Geometry
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United States of AmericaVirginia
Grade 8

6.03 Applications of the Pythagorean theorem

Lesson
Practice
Adaptive
Worksheet

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.

The rectangular screen of a handheld device is depicted in a landscape orientation. It is positioned with its longest side, measuring 9 cm, horizontal. Its shortest side, measuring 5 cm, is vertical. A diagonal line runs from the top right corner of the screen to its bottom left corner, and is labeled x cm, indicating its length. A right-angled triangle is formed by the horizontal side, vertical side and the diagonal line. The diagonal line is also the hypotenuse of the triangle and is opposite the right angle indicated by a small square is located at the bottom right corner.

Easy
2min

A soft drink can has a height of $13$13 cm and a radius of $3$3 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.

Easy
2min

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

Medium
2min

A sports association wants to redesign the trophy they award to the player of the season. The front view of one particular design is shown below.

Medium
5min
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Outcomes

8.MG.4

The student will apply the Pythagorean Theorem to solve problems involving right triangles, including those in context.

8.MG.4e

Apply the Pythagorean Theorem, and its converse, to solve problems involving right triangles in context.

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