Question: In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
Options:
Equilateral
Isosceles
Scalene
Right
Correct Answer: Right
Solution:
Triangle XYZ is a right triangle because 8^2 + 6^2 = 10^2.
In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
Practice Questions
Q1
In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
Equilateral
Isosceles
Scalene
Right
Questions & Step-by-Step Solutions
In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Triangle Classification – Triangles can be classified based on their side lengths (scalene, isosceles, equilateral) and angles (acute, right, obtuse).
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