amresh09 wrote:

The right triangle △ABC has side lengths 10 – x, 9 – x, and 8 – x. Given that only one value of x is possible, which of the following statements is true?

a) x is not an integer

b) The perimeter of △ABC must be greater than 10.

c) △ABC is isosceles

d) The area of △ABC cannot be determined from the information given

e) None of the above statements is true

My thoughts on this, first thing which i thought after reading

right triangle △ABC, the first Pythagorean triplet 3,4,5

Given that only one value of x is possible

Now Question is which of the following statements is true.

a) x is not an integer

As per my initial assumption this is not true.

b) The perimeter of △ABC must be greater than 10.

perimeter, sum of all sides => 27-3x > 10

we can take x as 5

12> 10

This is true

c) △ABC is isosceles

It can be possible, it cannot be possible

d) The area of △ABC cannot be determined from the information given

This for sure was false

e) None of the above statements is true

Irrelevant

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Quote which i can relate to.

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