Chapter 8: Q.25 (page 553)

Find the area of each triangle. $A = 50, B = 30, a = 1$

Short Answer

Expert verified

The area of the triangle is $0.32 s q u a r e u n i t$

Step by step solution

Step 1. Given information

The given data is $A = 50, B = 30, a = 1$

Step 2. Find the length of sides of b

Using Law of Sines, $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$

here. $A = 50, B = 30, a = 1$

$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} \frac{\sin 50}{1} = \frac{\sin 30}{b} b = \frac{\sin 30}{\sin 50} b = 0.65$

Step 3. Find the angle C

Since the angle A,B,C are the angles of a triangle,

$A + B + C = 180 50 + 30 + C = 180 C = 180 - 80 C = 100$

Step 4. Find the area of the triangle,

The area of the triangle is $k = \frac{1}{2} a b \sin C k = \frac{1}{2} 1 \times 0.65 \times \sin 100 k = 0.32$

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Find the area of each triangle. $A = 50, B = 30, a = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the length of sides of b

Step 3. Find the angle C

Step 4. Find the area of the triangle,

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Find the area of each triangle.A=50,B=30,a=1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the length of sides of b

Step 3. Find the angle C

Step 4. Find the area of the triangle,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the area of each triangle. $A = 50, B = 30, a = 1$