Right Triangle Concepts and Pythagorean Theorem

This video tutorial from Matematika Mania covers the Pythagorean Theorem for 8th-grade students. It begins with an introduction to different types of triangles based on angles, followed by a detailed explanation and proof of the Pythagorean Theorem. The video also discusses Pythagorean triples and provides practice problems to reinforce the concepts. The tutorial concludes with a summary and encourages viewers to subscribe and share.

What type of triangle is it if the square of the longest side is less than the sum of the squares of the other two sides?

• Right triangle

• Equilateral triangle

• Obtuse triangle

• Acute triangle

Which mathematician is credited with discovering the relationship between the sides of a right triangle?

• Euclid

• Aristotle

• Archimedes

• Pythagoras

In a right triangle, what is the side opposite the right angle called?

• Base

• Hypotenuse

• Adjacent side

• Opposite side

Which of the following sets of numbers is a Pythagorean triple?

• 8, 9, 10

• 5, 6, 7

• 2, 3, 4

• 3, 4, 5

If a triangle has sides of 5, 12, and 13, what type of triangle is it?

• Acute triangle

• Scalene triangle

• Right triangle

• Obtuse triangle

Given a triangle with sides 10 cm, 14 cm, and 15 cm, what type of triangle is it?

• Right triangle

• Acute triangle

• Obtuse triangle

• Isosceles triangle

A ladder leans against a wall, reaching a height of 9 meters. If the base of the ladder is 12 meters from the wall, how long is the ladder?

• 13 meters

• 14 meters

• 15 meters

• 16 meters

If A = 12, B = 16, and C = A + 8, what is the value of C?

• 28

• 24

• 20

• 18

What is the value of Ki if Ki^2 + 9^2 = P^2 and Ki^2 + 16^2 = R^2, and P^2 + R^2 = 25^2?

• 10

• 13

• 11

• 12

What is the length of the hypotenuse in a right triangle with legs of 9 and 12?

• 17

• 14

• 16

• 15