+1310 In the figure below, triangle ZAX is equilateral and has perimeter 
.
What is the area of the quadrilateral FLAX? Explain how you determined your answer.
+128481 If ZAX is equilateral and has a perimeter of 30, then each side is 10. So XA = ZA = 10....
And note that ZL = 1/2 of XA = 5
So....using the Pythagorean Theorem, LA =
√[ZA^2 - ZL^2] = √[10^2 - 5^2] = √[100 - 25] = √75 = √[25 * 3] = 5√3 = LA
So...the area of the quadrilateral = B*H = XA * LA = 10 * 5√3 = 50√3 = about 86.6 sq units
Does that make sense, AWESOMEEE ???
+1310 plz insert an explanation formally in kid friendly language. it can be an 'only numbers and equations' explanation, thx
+128481 If ZAX is equilateral and has a perimeter of 30, then each side is 10. So XA = ZA = 10....
And note that ZL = 1/2 of XA = 5
So....using the Pythagorean Theorem, LA =
√[ZA^2 - ZL^2] = √[10^2 - 5^2] = √[100 - 25] = √75 = √[25 * 3] = 5√3 = LA
So...the area of the quadrilateral = B*H = XA * LA = 10 * 5√3 = 50√3 = about 86.6 sq units
Does that make sense, AWESOMEEE ???
