Topics
10. Trigonometry
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United States of America
Grades 9-12

10.01 Right triangles and the Pythagorean theorem

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Calculate the value of $b$b in the triangle below.

 

A right triangle is depicted with the right angle located at the lower left corner. The vertical leg of the triangle is labeled "$5$5 m" and the hypotenuse is labeled "$13$13 m". The base, which runs horizontally along the bottom of the triangle, is labeled "$b$b m", suggesting a length in meters that is not specified. The lengths of the sides are indicative of a measurement in meters. A small square at the junction of the base and the vertical leg signifies the right angle.
Medium
2min

Find the length of the hypotenuse, $c$c in this triangle.

Medium
< 1min

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.

Medium
2min

Find $b$b, where $b$b m is the length of one side of a right triangle whose hypotenuse is $10$10 m in length and whose other side is $2$2 m in length.

Round your answer to two decimal places.

Medium
2min
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Outcomes

G.SRT.B.4

Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean theorem proved using triangle similarity.

G.SRT.C.8

Use trigonometric ratios and the Pythagorean theorem to solve right triangles in applied problems.

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