Question

triangle pqr is right angled at Q if PQ is 5 cm and QR is 12 cm find the length of PR

Answer 1

Heya mate, Here is ur answer

Given :

∆ PQR is a right angled ∆ .

Angle Q=90°

PQ=5 cm

QR= 12 cm

Using PGT(Pythagorean or Pythagoras Theorem) in the given ∆ .

$<b><u>Pythagoras theorem states that : In a right angle ∆ , the sum of the squares of other two sides of a right triangle gives the square of the hypotenuse.</u></b>$

This can be written as

$<b><u>Hypotenuse^2= Base ^2 + Perpendicular ^2 </u></b>$

So,

PR^2=PQ^2+ QR^2

PR^2=5^2+12^2

PR^2=25+144

PR^2=169

PR=√169

PR=13 cm.

$<b><i><u>Pls refer to the attachment.</u></i></b>$

================================

Warm regards

@Laughterqueen

Be Brainly ✌✌✌

Answer 2

The length of PR is 13 cm.

Explananation:

PQR is a right angled triangle

Angle Q=90°

PQ=5 cm

QR= 12 cm

Using Pythagoras Theorem applied to PQR triangle:

PR^2 (Hypotenuse^2)= PQ^2 (Base ^2) + QR^2 (Perpendicular ^2)

=> PR^2=PQ^2+ QR^2

=> PR^2=5^2+12^2

=> PR^2=25+144

=> PR^2=169

=> PR=√169

=> PR=13 cm.