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Question

A right triangle DEF is constructed with DE = 5 cm, F=90 and DF = 4 cm. Choose the correct statement from the following.

A
DF is the hypotenuse of Δ DEF
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B
E+D=180
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C
EF = 3 cm
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D
E=90
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Solution

The correct option is C EF = 3 cm
Given F, the hypotenuse is the side DE and the other sides are DF and EF
Using Pythagoras theorem,
DE2=DF2+EF2
52=42+EF2
EF2=5242
EF2=2516
EF2=9=32
The other perpendicular sides is 3 cm

By angle sum property,
D+E+F=180
D+E=180F=18090=90
Hence E+D=180 is false
The hypotenuse of a right angled triangle is the side opposite to the right angle. The hypotenuse of DEF right angled at F is DE

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