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Q.

What is the value of the hypotenuse of a right-angled triangle whose base and perpendicular lengths are 3x, 4x respectively?


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a

2x

b

4x

c

5x

d

6x 

answer is C.

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Detailed Solution

The given base and perpendicular lengths are 3x and 4x respectively.
The hypotenuse of a right-angled triangle with lengths a and b as its base and perpendiculars is a 2 + b 2  .
Hence, the hypotenuse of a right-angled triangle can be calculated using the formula as,
⇒ (3x) 2 + (4x) 2 ⇒ 9 x 2 +16 x 2 ⇒ 25 x 2 ⇒5x  
Hence, the length of the hypotenuse is 5x units, when the length of base and perpendicular are 3x and 4x respectively.
Therefore, option 3 is correct.
 
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