If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it? (2021)
Practice Questions
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Q1
If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it? (2021)
Acute
Obtuse
Right
Equilateral
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Questions & Step-by-step Solutions
1 item
Q
Q: If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it? (2021)
Solution: A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Steps: 8
Step 1: Understand that the sides of triangle XYZ are in the ratio 3:4:5.
Step 2: Recognize that a triangle with sides in the ratio 3:4:5 can be represented as 3x, 4x, and 5x, where x is a positive number.
Step 3: Recall the Pythagorean theorem, which states that in a right triangle, the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.
Step 4: Identify the longest side in the ratio 3:4:5, which is 5x.
