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G-SRT.6 Warmup M2-051-A01-V03

Define trigonometric ratios for acute angles using right-triangle similarity.

Assign separate opposite, adjacent-leg, and hypotenuse roles

Problem

A right triangle has legs of lengths \(5\) and \(12\) and a hypotenuse of length \(13\). Angle \(θ\) touches the leg of length \(12\). Assign the \(\text{three}~\text{lengths}\) to the opposite, adjacent, and hypotenuse roles relative to \(θ\).

Prompt diagram of a right triangle with legs 5 and 12 and hypotenuse 13. Reference angle theta touches the length-12 leg; the side-role labels are withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.6
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Define trigonometric ratios for acute angles using right-triangle similarity.
Problem type
Assign separate opposite, adjacent-leg, and hypotenuse roles