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G-SRT.8.1 Warmup M2-054-A02-V04

Derive and use trig ratios for 30-60-90 and 45-45-90 special right triangles.

Use the symbolic1:√3:2 relationship in a30-60-90 triangle

Problem

A \(30-60-90\) triangle has hypotenuse \(2x\). Use the \(1:\sqrt{3}:2\) ratio to express the short leg, long leg, and hypotenuse in order.

Prompt diagram of a 30-60-90 right triangle with hypotenuse 2x. The short leg and long leg are marked unknown; their values are withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.8.1
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Derive and use trig ratios for 30-60-90 and 45-45-90 special right triangles.
Problem type
Use the symbolic1:√3:2 relationship in a30-60-90 triangle