Question

the lengths of the perpendicular sides of a right angled triangle are(x+1) and (2.8×2.8).the length of the hypotenuse is​

Answer 1

Answer:

The sides of the triangle are separated by unity. If x was an integer then the sides would be consecutive integers and immediately obvious is a 3, 4, 5 right-angled triangle (RAT). However, we are not asked for x, necessarily, just which side is the hypotenuse or at least there is ambiguity on this point. The hypotenuse would be x + 1 side because it is the longest side.

By definition the hypotenuse is the longest side of a RAT and so we are informed that the triangle is in fact a RAT and this consolidates the belief of a 3, 4, 5 RAT.

You can use Pythagoras, to get a quadratic equation, which when solved will give x = 4, but that is already established.