Examples of Right Triangles with Labeled Legs and Hypotenuse for Grade 8

📚 Quick Study Guide

• 📐 A right triangle has one angle that measures exactly 90 degrees. This angle is called a right angle.
• 🦵 The two sides that form the right angle are called legs.
• ⬆️ The side opposite the right angle is the longest side and is called the hypotenuse.
• ➗ The Pythagorean theorem states the relationship between the sides: $a^2 + b^2 = c^2$, where 'a' and 'b' are the lengths of the legs, and 'c' is the length of the hypotenuse.
• ➕ You can use the Pythagorean theorem to find the length of a missing side if you know the lengths of the other two sides.
• 💡Remember to always identify the right angle first to correctly label the legs and hypotenuse.

✏️ Practice Quiz

1. Which side is always opposite the right angle in a right triangle?
   1. Leg
   2. Hypotenuse
   3. Adjacent Side
   4. Opposite Side
2. In a right triangle, if the legs are 3 cm and 4 cm, what is the length of the hypotenuse?
   1. 5 cm
   2. 7 cm
   3. 12 cm
   4. 25 cm
3. Which of the following is the correct formula for the Pythagorean theorem?
   1. $a + b = c$
   2. $a^2 + b^2 = c^2$
   3. $a^2 - b^2 = c^2$
   4. $a \times b = c$
4. Which of the following is NOT a property of a right triangle?
   1. One angle is 90 degrees
   2. The sum of all angles is 180 degrees
   3. It has two acute angles
   4. All angles are equal
5. In a right triangle, if the hypotenuse is 13 inches and one leg is 5 inches, what is the length of the other leg?
   1. 8 inches
   2. 12 inches
   3. 18 inches
   4. 65 inches
6. If the two legs of a right triangle are equal in length, what type of right triangle is it?
   1. Equilateral
   2. Isosceles
   3. Scalene
   4. Obtuse
7. Which side is adjacent to an acute angle in a right triangle (other than the hypotenuse)?
   1. Hypotenuse
   2. Opposite Side
   3. Leg
   4. Exterior Angle