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Chapter 8: Q. 12 (page 540)

Find the area of each triangle. Round answers to two decimal places

Short Answer

Expert verified

The area of the triangle is $5.56 s q . u n i t s$

Step by step solution

01

Given information

$a = 4, b = 3, c = 4$

02

Calculation

$s = \frac{1}{2} (a + b + c) = \frac{1}{2} (4 + 3 + 4) = 5.5 B y H e r o n' s f o r m u l a a r e a o f t r i a n g l e i s g i v e n b y K = \sqrt{s (s - a) (s - b) (s - c)} = \sqrt{5.5 (5.5 - 4) (5.5 - 3) (5.5 - 4)} = 5.56 s q . u n i t s$

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Most popular questions from this chapter

Find the exact value of six trigonometrical functions of the angle $θ$

Solve each triangle.

$a = 4, b = 5, c = 3$

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

$B = 10 °, C = 100 °, b = 2$

The displacement d (in meters) of an object at time t (in seconds) is given $d = 5 \cos (\frac{π}{2} t)$

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

In the given problem solve the triangle using either the law of sines or law of cosines-

$a = 14, b = 7, A = 85 °$

See all solutions

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