In the diagram, $A C=4, B C=3$, and $B D=10$. The area of the shaded triangle is
(A) 14
(D) 25
(B) 20
(C) 28
(E) 12

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-089.jpg?height=282&width=461&top_left_y=1119&top_left_x=1233)
In the diagram, $A C=4, B C=3$, and $B D=10$.

The area of the shaded triangle is
(A) 14
(D) 25
(B) 20
(C) 28
(E) 12

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-385.jpg?height=331&width=550&top_left_y=1466&top_left_x=1232)

## Solutionn

If $B D=10$ and $B C=3$, then $C D=7$. The area of the shaded triangle is $\frac{1}{2}(7)(4)=14$.

ANswer: (A)