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.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.