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Question
A triangle ABC is constructed with AB = 5 cm, BC = 9 cm and ∠A=90∘. Then, the length of third side is
A triangle ABC is constructed with AB = 5 cm, BC = 9 cm and ∠A=90∘. Then, the length of third side is
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Solution
The correct option is B 7.48 cm
Step 1:
Draw the line segment AB of the length 5 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 9 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 7.48 cm.
Step 1:
Draw the line segment AB of the length 5 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 9 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 7.48 cm.
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