#1**+1 **

If we look at the small right triangle on the bottom left of the kite, it has a hypotenuse of 13 and a leg of 12....so...the height of the triangle is the other leg and is found as

√ [ 13^2 - 12^2 ] = √ [169 - 144] = √25 = 5

So...by symmetry, we have two congruent triangles comprising the top and bottom of the figure

The height of both triangles is 5 and the base is 12 + 8 = 20

So....the area of one of the triangles is (1/2) (5) (20) = 50

And doubling this gives the total area of 100 units^2

CPhill
Jun 29, 2018