Question

A triangle ABC is constructed with AB = 6 cm, BC = 8.48 cm and $\angle A={90}^{\circ }$. Then, the triangle formed is

• A. a scalene right angle triangle
• B. an isosceles right angle triangle
• C. an equilateral triangle
• D. an obtuse right angle triangle

Answer 1

The correct option is B an isosceles right angle triangle

Step 1:
Draw the line segment AB of the length 6 cm.

Step 2:
Measure the angle A with your protractor. Make a mark at 90 degrees and draw a line from A passing through the mark.

Step 3:
Cut an arc of radius 8.48 cm on the line passing through the point A from point B. The point where this arc cuts the line is the point C.

Step 4:
Draw a line from C to point B to get the required triangle ABC, as shown below.


From the above construction, we see that the measure of side AC is also 6 cm.

Hence,the above triangle formed is Isosceles right angle triangle.