Problem preview
G-SRT.8.1 Warmup M2-054-A04-V01

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

Find numeric sides in a30-60-90 triangle

Problem

Find the missing sides of a \(30-60-90\) triangle with short leg \(6\).

Big Picture

What this problem is really about

Starting from the short leg fixes the scale for the entire thirty-sixty-ninety pattern. We’ll align short leg, long leg, and hypotenuse with one, square root of three, and two, multiply each term by the scale, and verify the exact lengths through their squares.

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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
Find numeric sides in a30-60-90 triangle