Question

If the sides of a triangle are $\text{3 cm, 4 cm, and 5 cm}$. Then, the triangle formed is a/an _____ triangle.

• A. right-angled
• B. obtuse-angled
• C. acute-angled
• D. equilateral

Answer 1

The correct option is A

right-angled

Let us construct the required triangle as follows:

Step 1:
Draw the line segment XY of the length 3 cm.

Step 2:
Use your compass to make an arc with centre at point Y and the radius 4 cm.

Step 3:
Use your compass to make a arc with centre at point X and the radius 5 cm.

Step 4:
The point of intersection between the arcs is named as Z.

The triangle is completed by joining all these three points.

Now, from above construction, we see that the triangle formed is a right angled triangle.