Answer :


Let’s consider that the triangle is a right angled triangle,


By applying Pythagoras theorem we get,


(2a + 1)2 = (2√2a)2 + (2a-1)2


(2a)2 + 12 + 2×2a×1 = 4×2a + (2a)2 + 12 - 2×2a×1


4a2 + 1 + 4a = 8a + 4a2 + 1 - 4a


4a2 + 1 + 4a = 4a2 + 1 + 4a


Since, the sides of the triangle satisfy Pythagoras theorem, thus the triangle is a right angled triangle with angle opposite to hypotenuse as right angle.


Here,


H = 2a + 1


P = 2a-1


B = 2√2a


Thus, BAC is a right angle with measure 90°.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A person goes 24mWest Bengal Board - Mathematics

Two rods of 13m. West Bengal Board - Mathematics

In ΔABC, if AB = West Bengal Board - Mathematics

If the lengths ofWest Bengal Board - Mathematics

In the adjoining West Bengal Board - Mathematics

I have drawn a trWest Bengal Board - Mathematics

Let us fill in blWest Bengal Board - Mathematics

In ΔRST, <span laWest Bengal Board - Mathematics

In the triangle AWest Bengal Board - Mathematics

In the road of ouWest Bengal Board - Mathematics