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Verify whether P(-2,2) , Q(2,2) and R(2,...

Verify whether P(-2,2) , Q(2,2) and R(2,7) are the vertices of a
right angled triangle or not by completing the following acitvity.
` PQ= sqrt([2-(-2)]^(2) + (2-2)^(2)) = square ` …(1)
`QR = sqrt((2-2)^(2) + 97-2)^(2)) = 5` …(2)
` PR = sqrt([2-(-2)]^(2) + (7-2)^(2))= square ` ...(3)
from (1),(2),(3)
` PR^(2) = square , QP^(2) + QR^(2) = square `
` therefore PR^(2) square PQ^(2) + QR^(2)[ = or ne ]`
` therefore triangle "PQR" square ` a right angled triangle [is /is not]

Text Solution

Verified by Experts

The correct Answer is:
`Delta PQR ` is a right angled triangle
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