Identify Legs and Hypotenuse of Right Triangles

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle, typically labeled as 'a' and 'b'.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, typically labeled as 'c'.

Front

In a right triangle, if 'a' and 'b' are the legs, what is 'c'?

Back

'c' is the hypotenuse, calculated using the Pythagorean theorem: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is always opposite the right angle and is the longest side of the triangle.

Front

If a right triangle has legs of lengths 3 and 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 legs and the hypotenuse in a right triangle?

Back

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse (a² + b² = c²).

Tags

CCSS.8.G.B.8

Front

Can a triangle with sides 5, 12, and 13 be a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

Tags

CCSS.8.G.B.8

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula is c = √(a² + b²), where 'c' is the hypotenuse and 'a' and 'b' are the legs.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse is 10 and one leg is 6, how do you find the other leg?

Back

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

Tags

CCSS.8.G.B.7

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