Assuming x represents the length of the first side.
Use pythagorean theorem to solve:
a^2 + b^2 = c^2
x^2 + (x+7)^2 = 13^2
x^2 + x^2+14x+49 = 169
2x^2 + 14x - 120 = 0
Solve the quadratic equation using the quadratic formula.
At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5
SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.
The formula for area of a right triangle is A = bh/2
A = b(h)2
A= 12(5)2
A = 30cm^2
