Question

PQR is a triangle ,right -angled at P. if PQ =6cm, PR = 8cm , find QR​

Answer 1

Answer:

Step-by-step explanation:

GIVEN: Right angle triangle PQR

Right angled at P. QR is the hypotenuse.

TO FIND: Length of QR

PROCEDURE: Pythagoras theorem= A²+B²=C²

Here C is the hypotenuse.

A= PQ= 6cm

B= PR= 8cm

C= QR= ?

Thus, on substituting, we get

6²+8²=C²

36 + 64= C²

100= C²

10= C

Thus QR is 10 cm.

Answer 2

Answer

QR = 10cm

Explanation

Given

• PR = 8cm
• PR = 8cmPQ = 6cm

To find

• QR

Solution

We know that PR = 8cm and PQ = 6cm [Given]

First

• Use the pythagoras Theorem

We know that pythagoras Therom states that

• Hypotenuse² = Base² + Altitude²

In this Question

• PQ is the Altitude and PR is the Base and QR is the Hypotenuse.
• Hypotenuse² = Base² + Altitude²
• QR² = PR² + PQ²
• QR² = 8² + 6²
• QR² = 64 + 36
• QR² = 100
• QR = √100
• QR = 10cm

[Please Observe The Figure That I have Given]