Math III · G-SRT.9

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

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

Concept Geometry
Domain Similarity, Right Triangles, and Trigonometry
Problem Types

Problem Templates In This Objective

8 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find the area of a triangle from two sides and the included angle

4 variants
Template 2

Find a missing side using the triangle area formula A = (1/2)ab sin(C)

4 variants
Template 3

Find all included angles from area and two sides

4 variants
Template 4

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

4 variants
Template 5

Find a triangle’s area from two sides and the included angle by expressing the altitude with sine

4 variants
Template 6

Compare triangle areas when two sides are fixed using A = 1/2ab sin(C)

4 variants
Template 7

Write a triangle area formula from two sides and the included angle

4 variants
Template 8

Evaluate and interpret triangle area to stated precision

4 variants