Question

Help me help me help me please

Answer 1

D. 24

Explanation:

The area of a triangle is
`(1)/(2) (bh)`.

The height is already given: 8

But we need to find the base and since the hypotenuse is given and it's a right triangle, we can use the pythagorean theorem. (Hypotenuse is longest, slanted side of a right triangle)

The pythagoren theorem is
`a^2+b^2=c^2` where a and b are the sides, and c is the hypotenuse.

Plugging in the given values =>
`8^2+b^2=10^2`

We have to solve for b. So, squaring 8 and 10 we get
`64+b^2=100`.

Next, subtract 64 from both sides to get b by itself:
`b^2=36`

Square root both sides to get
`b=6`.

Now that we have our base we can plug it in to the area of triangle formula:
`1/2(6*8)`.

Multiply inside the parenthesis: 1/2(48) => 24