Which of the following statements is true about finding the area of a triangle given that A, B, and C are the measures of the angles, a, b, and c are the lengths of the sides opposite the corresponding angles, and h is the length of an altitude? Choose the correct answer. A. In order to use the formula Area=12ab sin C, the length of two sides and the measure of the included angle must be given or able to be determined from the given information. B. In order to use the formula Area=12bh, the triangle must be a right triangle. C. In order to find the area of any triangle, the measure of at least one angle must be given. D. In order to find the area of any triangle, the altitude must be given.
Which of the following statements is true about finding the area of a triangle given that A, B, and C are the measures of the angles, a, b, and c are the lengths of the sides opposite the corresponding angles, and h is the length of an altitude? Choose the correct answer. A. In order to use the formula Area=12ab sin C, the length of two sides and the measure of the included angle must be given or able to be determined from the given information. B. In order to use the formula Area=12bh, the triangle must be a right triangle. C. In order to find the area of any triangle, the measure of at least one angle must be given. D. In order to find the area of any triangle, the altitude must be given.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Which of the following statements is true about finding the area of a triangle given that A, B, and C are the measures of the angles , a, b, and c are the lengths of the sides opposite the corresponding angles, and h is the length of an altitude?
Choose the correct answer.
In order to use the formula
Area=12ab sin C,
the length of two sides and themeasure of the included angle must be given or able to be determined from
the given information.
In order to use the formula
Area=12bh,
the triangle must be a right triangle.In order to find the area of any triangle, the measure of at least one angle must be given.
In order to find the area of any triangle, the altitude must be given.
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