Question

Need some help with this equation, please help me!

Answer the questions in the table below. Show all your work please and thank you!!

a. Use special right triangles to find the exact height of the triangle. This means that you will not round your answer, leave your answer in radical form. State or show which special right triangle you used. Don’t forget to label your answer with appropriate units.

b. What is the exact area of ∆BCD? This means that you will not round your answer, leave your answer in radical form. Don’t forget to label your final answer. Show your work.

Answer 1

a. 12sqrt(3) cm. b. 72sqrt(3) cm squared

Explanation:

a. I hope you see this a 30-60-90 triangle

The short side is opposite to 30

The long leg is opposite to 60

The hypotenuse, the longest side, is opposite 90.

So you are given short side which is 12 cm.

The long leg (the height in this case) is short side times square root of 3 so your height is 12sqrt(3) cm.

b. The area of a triangle is .5*base*height.

You have both the base and height now so plug them in:

.5(12)(12sqrt(3)) cm squared

6(12)sqrt(3) cm squared

72sqrt(3) cm squared