GOZUNTA
Try it now
Problem preview
G-SRT.9 Warmup M3-044-A06-V03

Derive the triangle area formula A=1/2ab sin(C) using an auxiliary altitude.

Find a triangle’s area from two sides and the included angle by writing the altitude as side × sine

Problem

The triangle shown has side lengths \(5\), \(6\), and \(7\). State the most direct area formula for the given measurements.

Triangle with its three sides labeled 5, 6, and 7 and no supplied altitude or included angle. Open full size
Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-SRT.9
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Derive the triangle area formula A=1/2ab sin(C) using an auxiliary altitude.
Problem type
Find a triangle’s area from two sides and the included angle by writing the altitude as side × sine