1. Identify all pairs of corresponding sides between the triangles. 2. Write three proportions using the ratios between sides in one triangle compared to the ratios of the corresponding sides in the second triangle. 3. Identify tan(a) and tan (3). Show that these values are equal based on the proportions you constructed in the previous question.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.1: Law Of Sines
Problem 1ECP: For the triangle shown, A=30, B=45, and a=32 centimeters. Find the remaining angle and sides.
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1. Identify all pairs of corresponding sides between the triangles.
2. Write three proportions using the ratios between sides in one triangle compared to the ratios
of the corresponding sides in the second triangle.
3. Identify tan(a) and tan(3). Show that these values are equal based on the proportions you
constructed in the previous question.
Transcribed Image Text:1. Identify all pairs of corresponding sides between the triangles. 2. Write three proportions using the ratios between sides in one triangle compared to the ratios of the corresponding sides in the second triangle. 3. Identify tan(a) and tan(3). Show that these values are equal based on the proportions you constructed in the previous question.
The triangles shown are similar right triangles with congruent angles a and B.
44
Transcribed Image Text:The triangles shown are similar right triangles with congruent angles a and B. 44
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