A right triangle has legs of lengths 6 cm and 8 cm. What is the length of the hy

A right triangle has legs of lengths 6 cm and 8 cm. What is the length of the hypotenuse?

A right triangle has legs of lengths 6 cm and 8 cm. What is the length of the hypotenuse?

Step 1: Identify the lengths of the legs of the right triangle. They are 6 cm and 8 cm.
Step 2: Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This can be written as c² = a² + b².
Step 3: Substitute the lengths of the legs into the formula. Here, a = 6 cm and b = 8 cm.
Step 4: Calculate the squares of the legs: 6² = 36 and 8² = 64.
Step 5: Add the squares of the legs together: 36 + 64 = 100.
Step 6: Take the square root of the sum to find the length of the hypotenuse: √100 = 10 cm.

Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.