Labeling Right Triangles

Front

What is the hypotenuse of a right triangle?

Back

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

Front

Which side is opposite to angle θ in a right triangle?

Back

The side opposite to angle θ is called the opposite side.

Front

Which side is adjacent to angle θ in a right triangle?

Back

The side that forms angle θ with the hypotenuse is called the adjacent side.

Front

What is the relationship between the hypotenuse and the right angle?

Back

The hypotenuse is always opposite the right angle in a right triangle.

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is the side that is not one of the two legs and is the longest side.

Front

In a right triangle, if one angle is 90 degrees, what can be said about the other two angles?

Back

The other two angles must add up to 90 degrees, making the total 180 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

If side a is 3 and side b is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c² = 3² + 4² = 9 + 16 = 25, so c = 5.

Front

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

Back

The area of a right triangle is given by the formula: Area = (1/2) * base * height.

Front

In a right triangle, if the hypotenuse is 10 and one leg is 6, how do you find the other leg?

Back

Use the Pythagorean theorem: c² = a² + b². Here, 10² = 6² + b², so 100 = 36 + b², thus b² = 64, and b = 8.