Answered: Solve the right triangle round to the…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter9: Real Numbers And Right Triangles

Section9.7: The Tangent Ration

Problem 26E

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Question

Solve the right triangle

round to the nearest tenth

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution

Step 1

Consider the following figure:

$△ A B C$ is a right-angled triangle.

$\begin{array}{rcl} m ∠ A & = & 90 ° \\ m ∠ C & = & 47 ° \end{array}$

Step 2

Sum of all angles of triangle equals to $180 °$ .

$\begin{array}{rcl} m ∠ A + m ∠ B + m ∠ C & = & 180 ° \\ 90 ° + m ∠ B + 47 ° & = & 180 ° \\ m ∠ B + 137 ° & = & 180 ° \\ m ∠ B & = & 180 ° - 137 ° \\ m ∠ B & = & 43 ° \end{array}$

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