what’s the area of this triangle?

There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.

The first is A=(b*h)/2

In this case you need to find the height using a²+b²=c²

Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.

3.8²+x²=8²

14.44+x²=64

x²=49.56

x=7.039 -now you have the height for the triangle and can use this to find the area

A=b*h (in this case we dont have to divide by two since we need two triangles because we split the original in two to find the base of 3.8)

so it's 3.8*7.039=26.75

(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"

It will teach you the formula [tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex] which teaches you to find the area of any triangle when all you are given is three sides