David W. answered • 02/04/22
Experienced Prof
The VERY IMPORTANT Pythagorean Theorem is the key to solving this problem'.
First, realize that the tick ("-") marks mean equality, so BE=5.
Then, realize that a stairstep ("Γ") is used to represent a right angle (90°).
So, 132 = AE2 + 52
The area of a triangle is (1/2)(base)(height). You now know the area of the two triangles on the left.
Then, (√425)2 = EC2 + 52 This will give the value of EC to use in the area formulas for the two triangles on the right side.
Add the four values to find the number of square inches of material needed.
Jon S.
The length of AC is 12 + 30 = 42. Since BE is 5, the length of BD is 10. The area of a kite is 1/2 * the product of the length of the diagonals = 1/2 * 42 * 10 = 210.02/05/22
David W.
PLEASE BE CAREFUL !! Jon made a calculation error !! ... (√425)^2 = EC^2 + 25 ... So, EC^2 = 425 - 25 ... EC^2 = 400 ... EC=20 ... ... ... The areas of AEB=30, AEC=30, BEC=50, DEC=50. The area of this kite is 30+30+50+50 = 160. You were correct (AE=12 EC= 20). ... The formula Jon used is correct, but his calculation has an error. (1/2)(5+5)(12+20) = (1/2)(10)(32) = 160.02/06/22
Humar P.
I understand thx a lot02/06/22
Faiza A.
AE=12 EC= 20 Now we will take the area as twice or 2DE02/05/22