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Question
A right triangle DEF is constructed with DE = 6 cm, ∠E=90∘ and EF = 8 cm. Choose the correct statement from the following.
A right triangle DEF is constructed with DE = 6 cm, ∠E=90∘ and EF = 8 cm. Choose the correct statement from the following.
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Solution
The correct option is B DF is the hypotenuse of Δ DEF of length 10 cm
Step 1:
Draw the line segment DE of the length 6 cm.
Step 2:
Measure the angle E with your protractor. Make a mark at 90 degrees and draw a line from E passing through the mark.
Step 3:
Cut an arc of radius 8 cm on the line passing through the point E. The point where this arc cuts the line is the point F.
Step 4:
Draw a line from F to point D to get the required triangle DEF, as shown below.
The hypotenuse of a right angled triangle is the side opposite to the right angle. The hypotenuse of △DEF right angled at E is DF.
From the above construction, we see that the measure of side DF is 10 cm.
Step 1:
Draw the line segment DE of the length 6 cm.
Step 2:
Measure the angle E with your protractor. Make a mark at 90 degrees and draw a line from E passing through the mark.
Step 3:
Cut an arc of radius 8 cm on the line passing through the point E. The point where this arc cuts the line is the point F.
Step 4:
Draw a line from F to point D to get the required triangle DEF, as shown below.
The hypotenuse of a right angled triangle is the side opposite to the right angle. The hypotenuse of △DEF right angled at E is DF.
From the above construction, we see that the measure of side DF is 10 cm.
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