Maggie puts together two isosceles triangles so that they share a base, creating a kite. each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches.

if the length of the base of both triangles measures 80 inches, what is the length of the kite’s shorter diagonal?

30 inches
39 inches
inches
inches

Shortest diagonal = 39 inches

Step-by-step explanation:

We consider ΔAOD,  from the figure mentioned below:

To get the diagonal we use the pythagorus theorem,

Similarly,

We consider ΔCOD,

By Pythagorus theorem,

So, by adding both two i.e.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

do your own work and don"t cheat.

step-by-step explanation: