MathematicsGrade 8en

📐 Pythagorean Theorem in 2D

Master the Pythagorean theorem and learn to find missing side lengths in right triangles using this fundamental tool in geometry. **What you'll learn:** - Identify right triangles and label their sides (legs and hypotenuse) - Apply the Pythagorean theorem formula to solve for unknown sides - Verify whether three side lengths form a right triangle - Solve real-world distance and measurement problems using the theorem

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Question 1
In a right triangle, which side is always opposite the 90-degree angle?
Question 2
The Pythagorean theorem states that in a right triangle, $a^2 + b^2 = c^2$ , where $c$ is the length of one of the legs.
Question 3
In the Pythagorean theorem $a^2 + b^2 = c^2$ , if $a = 3$ and $b = 4$ , then $c =$ ___
Question 4
Which of the following sets of three numbers can form the sides of a right triangle?
Question 5
A right triangle with legs of 6 cm and 8 cm has a hypotenuse of exactly 14 cm.
Question 6
A ladder leans against a wall. The base of the ladder is 3 meters from the wall, and the ladder is 5 meters long. The height the ladder reaches on the wall is ___ meters.
Question 7
If a right triangle has legs of lengths 7 and 9, what is the approximate length of the hypotenuse?
Question 8
The Pythagorean theorem can be used to find the distance between two points on a coordinate plane.
Question 9
A right triangle has a hypotenuse of 13 and one leg of 5. The length of the other leg is ___
Question 10
A rectangular field is 120 meters long and 90 meters wide. What is the length of the diagonal from one corner to the opposite corner?