Question

Calculate the area of the following triangles, giving your answers to 2 decimal places:

(a) The right-angled triangle with sides a=16, b=63, and c=65.

(b) The triangle with angle α = 40° and adjacent sides b=10 and c=20.

Answer 1

do you want the answer or no. Weather you answer or not A squared + b squared = c squared this answers a

b squared - c squared = a squared

now for both of them you will have to use the square root of a and c squared. hope this helps :)

Answer 2

If you have a right-angled triangle, the area is
(1/2) base x height
You have the base and height, clearly 65 will not be used since it is the hypotenuse.
So go for it.

For the second, if you have two sides and the contained angle, then the area is
(1/2)(a)(b)sinØ, where a and b are the sides and Ø is the angle. You have all that, go for it.

Let me know what you get so I can check it