Unit 4, Lesson 5

Working with Ratios in Right Triangles

Geometry

Practice

Problem 1

A triangle has sides with lengths 8, 15, and 17.

Verify this is a right triangle.
Approximate the acute angles in this triangle.

Problem 2

Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 18 feet long and makes a 30-degree angle with the ground. How high is the kite?

<p>String = hypotenuse = 18 feet. angle with the ground = 30 degrees. Perpendicular height unknown.</p>

Problem 3

Triangle has a right angle at . Select all measurements which would mean that the triangle has a hypotenuse with a length of 10 units.

<p>Triangle A B C with angle C marked as a right angle.</p>

angle	adjacent leg hypotenuse	opposite leg hypotenuse	opposite leg adjacent leg
	0.31	0.95	3.1

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Working with Ratios in Right Triangles

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7