Pythagorean Theorem and Angles

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 can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

How do you find the length of the hypotenuse in a right triangle?

Back

To find the length of the hypotenuse, use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.7

Front

If one side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the angles in a triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Tags

CCSS.4.G.A.1

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Tags

CCSS.4.G.A.1

Front

What is a straight angle?

Back

A straight angle is an angle that measures exactly 180 degrees.

Tags

CCSS.4.G.A.1

Front

If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.

Tags

CCSS.8.G.B.7

Front

What is the formula to find the area of a right triangle?

Back

The area of a right triangle can be found using the formula: Area = (1/2) × base × height.

Tags

CCSS.6.G.A.1