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Question
A triangle ABC is constructed with BC = 5 cm, AB = 3 cm and ∠A=90∘. Then, the correct classification of Δ ABC is
A triangle ABC is constructed with BC = 5 cm, AB = 3 cm and ∠A=90∘. Then, the correct classification of Δ ABC is
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Solution
The correct option is A Based on sides - Scalene; Based on angle - Right angled
Step 1:
Draw the line segment AB of the length 3 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 5 cm on the line passing through the point A. 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 4 cm.
Therefore, the triangle is a scalene right angled triangle.
Step 1:
Draw the line segment AB of the length 3 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 5 cm on the line passing through the point A. 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 4 cm.
Therefore, the triangle is a scalene right angled triangle.
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