What is the value of side "a" in the triangle shown below?

a right triangle with an acute angle 30 degrees and side opposite this angle is labeled a. the hypotenuse is labeled 10.

√10
√5
7
5
3

a = 5

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for a and

sin30° = , thus

sin30° = = , hence

= ( cross- multiply )

2a = 10 ( divide both sides by 2 )

a = 5

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: