Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC
![(hypotenuse)^2=(base)^2+(perpendicular)^2](https://tex.z-dn.net/?f=%28hypotenuse%29%5E2%3D%28base%29%5E2%2B%28perpendicular%29%5E2)
![(AB)^2=(BC)^2+(AC)^2](https://tex.z-dn.net/?f=%28AB%29%5E2%3D%28BC%29%5E2%2B%28AC%29%5E2)
![(10)^2=(8)^2+(AC)^2](https://tex.z-dn.net/?f=%2810%29%5E2%3D%288%29%5E2%2B%28AC%29%5E2)
![100=64+(AC)^2](https://tex.z-dn.net/?f=100%3D64%2B%28AC%29%5E2)
![100-64=(AC)^2](https://tex.z-dn.net/?f=100-64%3D%28AC%29%5E2)
![36=(AC)^2](https://tex.z-dn.net/?f=36%3D%28AC%29%5E2)
take square root
![6=AC](https://tex.z-dn.net/?f=6%3DAC)
Then area of triangle ABC ![=\frac{1}{2}\left(base\right)\left(altitude\right)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28base%5Cright%29%5Cleft%28altitude%5Cright%29)
![=\frac{1}{2}\left(8\right)\left(6\right)=24](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%288%5Cright%29%5Cleft%286%5Cright%29%3D24)
There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.
Answer:
A= 0.5 x (a+b) x h
124 = 0.5 x (12+19) x h
124 = 15.5 x h
÷15.5
h = 8cm
0.5x(12+19) x 8 does gives 124
Thus, height is 8cm.
Hope this helps!
There are 818 pennies in each box. you can get this by dividing 2456 by 3. hope it helped!
Answer: ![x=-2/3](https://tex.z-dn.net/?f=x%3D-2%2F3)
<u>Subtract 24x from both sides</u>
<u></u>
<u></u>
<u></u>
<u>Add 6 to both sides</u>
<u></u>
<u></u>
<u></u>
<u>Divide both sides by -18</u>
<u></u>
<u></u>