Question

In △PQR, ∠P is right angle. If PQ=10 cm and PR=24 cm, Find QR.​

Answer 1

• QR is 26 cm.

Step-by-step explanation:

Given:-

• ∠P of ∆PQR is right angled.
• PQ of ∆PQR is 10 cm.
• PR of ∆PQR is 24 cm.

To find:-

• Measure of QR.

Solution:-

By using Pythagoras theorem :

$\boxed{\sf \bold{\star \:Hypotenuse^{2} = Perpendicular^{2} + Base^{2}}}$

Base = PQ = 10 cm.

Perpendicular = PR = 24 cm.

Hypotenuse = QR = ?

Put the values in Pythagoras theorem :

$\longrightarrow \sf QR^{2} = PR^{2} + PQ^{2}$

$\longrightarrow \sf QR ^{2} = (24)^{2} + (10)^{2}$

$\longrightarrow \sf QR^{2} = 576 + 100$

$\longrightarrow \sf QR^{2} = 676$

$\longrightarrow \sf QR = \sqrt{676}$

$\longrightarrow \sf \bold{QR = 26}$

Therefore,

QR is 26 cm.

Answer 2

Answer:

Refer to the attachment above. ⬆️

hope it helps!!