Triangle Problems

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

Back

180°

Front

List the angles of the triangle in order from smallest to largest if \( \angle R = \angle S \) and \( \angle Q \) is the largest.

Back

\( \angle R = \angle S, \angle Q \)

Front

Determine if the side lengths 9, 8, and \( \sqrt{106} \) form an acute, obtuse, or right triangle.

Back

Acute Triangle

Front

What is the range of values for the third side of a triangle if two sides are 8 and 9?

Back

1 < x < 17

Front

What is the Pythagorean Theorem?

Back

In a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse.

Front

What is an acute triangle?

Back

A triangle where all angles are less than 90°.

Front

What is an obtuse triangle?

Back

A triangle where one angle is greater than 90°.

Front

What is a right triangle?

Back

A triangle that has one angle equal to 90°.

Front

What is the formula for the area of a triangle?

Back

Area = \( \frac{1}{2} \times base \times height \)