John drew a right triangle with sides 6 inches , 8inches , and 10 inches long what is the area of the triangle ?

24 in²

Step-by-step explanation:

The easy way:

The two legs, or shorter sides, of a right triangle form that triangle's base and height. Knowing that the area of a triangle is (where b is the base and h is the height), we can use the 6 inch leg for the base and the 8 inch leg for the height to find an area of in².

The harder but more general way

There's a nice formula for calculating the area of any triangle given its side lengths found by this Greek guy named Heron, and it's appropriately called Heron's formula:

a, b, and c are the lengths of triangle, and s here is half the triangle's perimeter (also called the semi-perimeter), or mathematically:

For our problem, let's pick a = 6, b = 8, and c = 10. This would give us

Substituting that s back into Heron's formula, we get

So our area is 24 in²

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i can't solve unless i know what the line is

step-by-step explanation:

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