To solve for the third length, x, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
1. Using the Pythagorean theorem, we have:
x^2 + 36^2 = 77^2
Simplifying this equation, we get:
x^2 + 1296 = 5929
Subtracting 1296 from both sides, we have:
x^2 = 4633
Taking the square root of both sides, we find:
x ≈ 68.08 cm
Therefore, the length of the third side, x, is approximately 68.08 cm.
2. Similarly, using the Pythagorean theorem, we have:
x^2 + 39^2 = 80^2
Simplifying this equation, we get:
x^2 + 1521 = 6400
Subtracting 1521 from both sides, we have:
x^2 = 4879
Taking the square root of both sides, we find:
x ≈ 69.89 cm
Therefore, the length of the third side, x, is approximately 69.89 cm.
To solve the puzzle, find x in the equation.
1: the hypotenuse is 77cm and the other length is 36cm.
2: the hypotenuse is 80cm and the other length is 39cm
what is the third length, x?
1 answer
1 answer