How does one find the length of the hypotenuse in a right triangle?
Answer: We can find the length of the hypotenuse in a right triangle using the Pythagoras theorem.
Any triangle with one angle equal to 90 degrees will satisfy the Pythagoras theorem.
The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the squares of the other two legs.
If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2
where AB is the base, AC is the altitude or the height, and BC is the hypotenuse.
While if a, b, and c are the sides of the triangle, then c2 = a2 + b2
where, c = hypotenuse, 'a' is the base and 'b' is the height of the triangle.