Question

Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.

Answer 1

h = 3 sqrt(21)

or

h = 13.75

Explanation:

The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.

FK = 60/4 = 15 feet.

Now you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

a = 6

b = height or = h

c = 15

6^2 + b^2 = 15^2

36 + b^2 = 225

b^2 = 225 - 36

b^2 = 189

sqrt(b^2)= sqrt(189)

b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.

b = 3 * sqrt(3*7)

b = 3 * sqrt(21)