The side of an isosceles triangle is 203 and the base is 294. Find the area of this triangle.

a = 203, b = 294
The area of an isosceles triangle is calculated using the classic formula for the area of a triangle – the product of half of the base of a triangle by its height.
S = 1: 2 * bh
We know everything except the height. Let’s find it by the formula:
h (squared) = a (squared) – (b \ 2) (squared)
h (squared) = 203 (squared) -294: 2 (squared)
h (squared) = 19600
h = 140
Now let’s find the area:
S = 1: 2 * 294 * 140 = 20580
Answer: area 20580cm squared