Question

Triangle abc triangle pqr a(triangle abc): a(triangle pqr)=9:16 find bc:qr

Answer 1

Answer:

A(ΔABC) (BC) ^2

----------------- = -------------

A(ΔPQR) (PQ) ^2

9 (BC) ^2

---- = -----------

16 (PQ) ^2

BC = 3

PQ. 4

Hope this will help you

Answer 2

the ratio of bc : qr = 3 : 4

Given,

a( triangle abc) : a(triangle pqr) = 9 : 16

To Find,

bc : qr

Solution:

Both the triangles must be similar triangles.

Then,

area 1 / area 2 = (side 1 )^2 /  (side 2)^2

9 / 16 = (side 1)^2 / (side 2)^2

$\sqrt{9/16$ = bc / qr

3 / 4 =  bc / qr

bc : qr = 3: 4

Hence the ratio of bc : qr = 3 : 4

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