Question

PQR is a right-angled triangle. PQ is 50cm, QR is 2m .
Calculate the length of PR. Give your answer in metres, correct to 1 decimal
place.

Answer 1

Given:

PQR is a right-angled triangle. Right angle is at P. PQ is 50 cm. QR is 2 m.

To Find:

Calculate the length of PR.

Solution:

ΔPQR = A right angle triangle

∠P = 90°

PQ = 50 cm

QR = 2 m = 200 cm

From Pythagoras rules:

QR² = PR² + PQ²

On substituting respective value in above equation:

200² = PR² + 50²

PR² = 200² - 50²

PR² = 40000 -2500

PR² = 37500

$\mathbf{PR=\sqrt{37500}}$

On simplify:

PR = 193.649 cm

Means value of PR is 193.649 cm.

Answer 2

The length of PR is 1.9 m.

Step-by-step explanation:

Given,

PQ= 50 cm or 0.50 m

QR= 2 m

Since, ΔPQR  is a right angled triangle

∠P = 90°

According to Pythagoras rules:

QR² = PR² + PQ²

Applying the given values in above equation:

2² = PR² + 0.50²

PR² = 2² - 0.50²

PR² = 4 -0.25

PR² = 3.75

PR = $\sqrt{3.75}$

∴PR = 1.936 m or 1.9 m

Learn more:

PQR is a right angled triangle right angled at Q. S is a point on QR such that QS=SR,show that PR 2 = 4PS 2 3PQ 2

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