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Q.

The altitude of a right triangle is $7 cm$ less than the base $x$ and the hypotenuse is $13 cm$ . The quadratic representation of given equation is :

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a

x (x − 7) = 13

b

x 2 + (x − 7) 2 = 132

c

x 2 + (x + 7) 2 = 132

d

x 2 − (x + 7) 2 = 132

answer is B.

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Detailed Solution

Given that,
The altitude of a right triangle is

7 cm

less than the base

x

and the hypotenuse is

13 cm

.
According to question,

b a s e = x a l t i t u d e = x − 7 h y p o t e n u s e = 13

The Pythagorus theorem is given as,

B a s e 2 + P e r p e n d i c u l a r 2 = H y p o t e n u s e 2

By using Pythagoras theorem,

x 2 + x − 7 2 = 132

Hence, option 2 is correct.

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The altitude of a right triangle is 7 cm less than the base x and the hypotenuse is 13 cm . The quadratic representation of given equation is :