In ∆PQR, angle PQR = 90° . state the Pythagorean relation in the triangle
Answers
Step-by-step explanation:
Angle PQR =90° means angle Q=90°
therefore side opp. to Q is hypotenuse that is side PR and remaining sides are PQ and QR
Hence In ΔPQR,PR^2=PQ^2 + QR^2
Pls thank me
Answer:
The Pythagorean relation in the triangle is PR² = PQ² + QR²
Step-by-step explanation:
Here, it is given to us that the triangle PQR = 90°
which means, that the triangle PQR is right angled at Q
therefore, angle Q = 90°
By Pythagoras Theorem,
we know that the hypotenuse lies opposite to the right angled corner of the triangle.
Hence, the hypotenuse = PR
and the respective height of the triangle PQR = PQ
as well as then base is given by QR
So, we know that : (hypotenuse)² = (height)² + (base)²
Hence from the triangle PQR, we get :
PR² = PQ² + QR²
Therefore, the Pythagorean relation in the triangle is PR² = PQ² + QR²
#SPJ2