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Chapter 8: Q.21 (page 553)

Find the area of each triangle.
$a = 2, b = 3, C = 40$

Short Answer

Expert verified

The required area of the triangle is $k = 1.92 s q u n i t$

Step by step solution

01

Step 1. Given information

The given data is $a = 2, b = 3, C = 40$

02

Step 2. Find the area of the triangle

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

Here, $a = 2, b = 3, C = 40$

localid="1647240930919" $k = \frac{1}{2} a b \sin C k = \frac{1}{2} \times 2 \times 3 \times \sin 40 k = 3 \times \sin 40 k = 1.92 s q u n i t$

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Most popular questions from this chapter

Find the area of the triangle. Round answer to two decimal places.

$A = 40 °, B = 20 °, a = 2$

Given two sides and the included angle, the first thing to do to solve the triangle is to use the Law of Sines .

Find the real solutions, if any, of the equation $3 x^{2} + 1 = 4 x$ .

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

$a = 6, T = π s e c o n d s$

Find an exact value of each expression, without using a calculator $\cos^{2} 40 + \cos^{2} 50$

See all solutions

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