We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

#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