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Q.

Is it true that if ∆ MNO is a right-angled triangle and its legs are 6 cm and 8 cm long, the length of perpendicular NP on the side MO is 4.5 cm?

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a

True

b

False

answer is B.

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Detailed Solution

We have been given,
Question Image

Question Image

The triangles MNO and MPN are similar because

∠ M N O = ∠ M P N = 90 °

and angle M is common.
Therefore,

O N M O = N P M N

As we know, the value of hypotenuse of a triangle is,

\sqrt{{altitude}^{2} - {base}^{2}}

Substituting the values,

NP = 4.8cm
Therefore, the length of the perpendicular NP on the side MO is 4.8 cm.
Thus, our statement is false.
∆ MNO is a right-angled triangle. Its legs are 6 cm and 8 cm long, and the length of perpendicular NP on the side MO is 4.8 cm.
Hence, option 2 is correct.

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