Geometry Pythagorean Theorem & Converse Theorem! (geo322)

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). Formula: a² + b² = c².

Front

What is a right triangle?

Back

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

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides (a² + b² = c²).

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

If a triangle has sides of lengths 5, 12, and 13, what type of triangle is it?

Back

Right Triangle (5² + 12² = 13²).

Front

If a triangle has sides of lengths 11, 6, and approximately 12.53, what type of triangle is it?

Back

Right Triangle (11² + 6² ≈ 12.53²).

Front

If a triangle has sides of lengths 6.1, 3.9, and 4.7, what type of triangle is it?

Back

Acute Triangle (6.1² + 3.9² > 4.7²).

Front

If a triangle has sides of lengths 13.5, 40, and 29, what type of triangle is it?

Back

Obtuse Triangle (13.5² + 29² < 40²).

Front

If a triangle has sides of lengths 12, 9, and 8, what type of triangle is it?

Back

Acute Triangle (12² + 8² > 9²).