Question

Please help!! answers needed now-- work only NEEDS to be shown for question 3

use the triangle to answer the questions:

1. What is the exact length of the base of the triangle, y?

2. What is the exact height of the triangle, x?

3. What is the exact area of the triangle? Leave your answer in radical terms.
Show your work

4. What is the area of the triangle to the nearest hundredth of a square in?

Answer 1

1. y = 5

2. x = 8√11

3. A = 20√11

4. 20√11 = 66.33

Explanation:

1. sin(30) = y/10

=> 1/2 = y/10

y = 5

2. Pythagorean theorem: c^2 = a^2 + b^2

10^2 = x^2 + y^2

10^2 = x^2 + 5^2

x^2 = 100 - 25

x^2 = 75

x = √75 = 8√11

3. Are of right △: A=ab/2 = xy/2 = 5 x 8√11 x 1/2 = 20√11

4. 20√11 = 66.33