Right Triangle Concepts and Properties

Front

What is a right triangle?

Back

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

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

Which set of sides would make a right triangle? 4, 5, 6 or 5, 12, 13?

Back

5, 12, 13.

Front

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

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the length of the hypotenuse if the other two sides are 30 cm and 40 cm?

Back

50 cm (using the Pythagorean theorem: 30² + 40² = 50²).

Front

What is the square root of 40 between which two integers?

Back

6 and 7.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Which of the following is a rational number and an integer? -3.75, -⅔, -4, 19

Back

-4.

Front

What is the classification of the number 120?

Back

Counting, whole, integers, rational, real.

Front

What is the hypotenuse in a right triangle?

Back

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