Pythagorean Theorem

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: c² = a² + b².

Front

What does side c represent in a right triangle?

Back

Side c represents the hypotenuse, which is the longest side of a right triangle, opposite the right angle.

Front

Is side a always the longest side in a right triangle?

Back

No, side a is not always the longest side; the hypotenuse (side c) is always the longest side.

Front

If a = 3 cm and b = 4 cm, what is the length of c?

Back

Using the Pythagorean Theorem: c² = a² + b²; c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 cm.

Front

What is the formula to find the length of side b if a and c are known?

Back

The formula is b = √(c² - a²).

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides (a and b) equals the square of the longest side (c): a² + b² = c².

Front

If c = 10 cm and a = 6 cm, what is the length of b?

Back

Using the formula: b = √(c² - a²); b = √(10² - 6²); b = √(100 - 36); b = √64; b = 8 cm.

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.