Question

A right triangle has side lengths 5, 12, and 13 as shown below.

Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin

Answer 1

c

Explanation:

a. 3in, 4in, 5 in

5^2 ? 3^2 + 4^

25 ? 9 + 16

25 = 25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2 ? 5^2 + 6^2

49 ? 25 + 36

49 < 61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2 ? 8^2 + 9^2

144 ? 64 + 81

144 < 145

Because 144< 145, this is an acute triangle.

Answer 2

Cos b) 5/13
Tan b) 12/5 or 2 1/6 or 2 2/12
Sin b) 12/13