Chapter 8: Q. 37 (page 535)

In the given problem solve the triangle using either the law of sines or law of cosines-
$B = 35 °, C = 65 °, a = 15$

Short Answer

Expert verified

Required values of the triangle are,

$b \approx 13.2, c \approx 13.5, A = 80 °$

Step by step solution

Step 1. Given information

In the given triangle,

$B = 35 °, C = 65 °, a = 15$

We know Law of sines,

$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$

Step 2. Calculation

We know, sum of all angles of a triangle i.e.

$A + B + C = 180 ° \Rightarrow A + 35 ° + 65 ° = 180 ° \Rightarrow A = 180 ° - 100 ° \Rightarrow A = 80 °$

For side $b$ ,

$\frac{\sin A}{a} = \frac{\sin B}{b}$

$\Rightarrow \frac{\sin 80 °}{15} = \frac{\sin 35 °}{b} \Rightarrow b = \frac{0.57}{0.98} \times 15 \Rightarrow b \approx 13.2$

For side $c$ ,

$\frac{\sin A}{a} = \frac{\sin C}{c} \Rightarrow \frac{\sin 80 °}{15} = \frac{\sin 65 °}{c} \Rightarrow c = \frac{0.9}{0.98} \times 15 \Rightarrow c \approx 13.5$

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In the given problem solve the triangle using either the law of sines or law of cosines-
$B = 35 °, C = 65 °, a = 15$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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In the given problem solve the triangle using either the law of sines or law of cosines-B=35°,C=65°,a=15

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Discrete Mathematics

Decision Maths

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the given problem solve the triangle using either the law of sines or law of cosines-
$B = 35 °, C = 65 °, a = 15$