If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
Practice Questions
1 question
Q1
If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
Equilateral
Isosceles
Scalene
Right-angled
A triangle with sides in the ratio 3:4:5 is a right-angled triangle, as it satisfies the Pythagorean theorem.
Questions & Step-by-step Solutions
1 item
Q
Q: If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
Solution: A triangle with sides in the ratio 3:4:5 is a right-angled triangle, as it satisfies the Pythagorean theorem.
Steps: 8
Step 1: Understand that the sides of the triangle are in the ratio 3:4:5.
Step 2: Assign values to the sides based on the ratio. For example, let the sides be 3x, 4x, and 5x, where x is a positive number.
Step 3: Recall the Pythagorean theorem, which states that in a right-angled 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 our triangle, which is 5x.
