Solving For Hypotenuse

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as a² + b² = c².

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, which is opposite the right angle.

Front

If one side of a right triangle is 6 and the other side is 8, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10.

Front

What is the formula to find the hypotenuse?

Back

The formula to find the hypotenuse (c) is c = √(a² + b²).

Front

In a right triangle, if one side is 5 and the hypotenuse is 13, what is the length of the other side?

Back

Using the Pythagorean Theorem: b² = c² - a²; b² = 13² - 5²; b² = 169 - 25; b² = 144; b = 12.

Front

What does 'solving for c' mean in the context of a right triangle?

Back

'Solving for c' means finding the length of the hypotenuse using the lengths of the other two sides.

Front

If a right triangle has sides of length 9 and 12, what is the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 9² + 12²; c² = 81 + 144; c² = 225; c = 15.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If the lengths of the two legs of a right triangle are equal, what type of triangle is it?

Back

It is an isosceles right triangle.

Front

What is the value of c if a = 3 and b = 4?

Back

Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.