Question

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

Answer 1

Answer:

c

Step-by-step 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