Question

can anybody please help me with this?

Answer 1

We know that a=b because the two triangles are congruent.
However, we have no idea of what a and b are. Do you have additional information.

The bottom part has an area of 5*12=60. If the diagram is drawn to scale, the area of the polygon would likely be 85 (only choice between 60 and 120). But we do not know a nor b.

Answer 2

I do not have additional information... :( this is all it gives...

Answer 3

A = 1/2 d1. d2

Answer 4

what would I substitute for d1 and d2?

Answer 5

d1= 5+5 = 10
d2 = x + 5 = ???

now there is a right triangle so we can find the missing x using Pythagorean Theorem

Answer 6

we use a^2 + b^2 = c^2
so 5^2 + b^2 = 13^2 can you solve for b ???

Answer 7

yes, just a moment

Answer 8

does b equal 12?

Answer 9

Excuse me for interrupting.
May I ask from where
so 5^2 + b^2 = 13^2
we derive this formula, i.e. which triangle?

Answer 10

If you look at the kite, you will see
we need the short diagonal and the long diagonal so we can use formula, we are missing a piece on the long diagonal that is where the formula come from since it is a right triangle

Answer 11

now you have the missing piece to use formula so
d1 = 5 + 5 = 10
d2 = 5 + 12 = 17

formula is A = 1/2 d1 . d2 so what do you get

Answer 12

85 square units!

Answer 13

correct, good job

Answer 14

thanks a lot!

Answer 15

your welcome :)

Answer 16

You're right, I did not see that the upper triangles are isosceles. Thank you.

Answer 17

yw :)