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प्रश्न
The length of the hypotenuse of an isosceles right triangle whose one side is\[4\sqrt{2} cm\]
विकल्प
12 cm
8 cm
- \[8\sqrt{2} cm\]
- \[12\sqrt{2} cm\]
उत्तर
Given: One side of isosceles right triangle is 4√2cm
To find: Length of the hypotenuse.
We know that in isosceles triangle two sides are equal.
In isosceles right triangle ABC, let AB and AC be the two equal sides of measure 4√2cm.
Applying Pythagoras theorem, we get
`BC^2=AB^2+AC^2`
`BC^2=(4sqrt2)^2+(4sqrt2)^2`
`BC^2=32+32`
`BC^2=64`
`BC=8`
Hence correct answer is `b`.
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