Question

(c) A ABC and A PQR are similar triangles such that ar(A ABC) = 28 cm2
and ar(A PQR) = 63 cm2. If PR = 8.4 cm, find AC.​

Answer 1

Step-by-step explanation:

A ABC)_28/

A PQR)_63

ABC/PQR=(AC)2/(PR)2

28/63. =(AC)2/8.4)2

28/63 =AC)2/70.56

28×70.56/63=AC)2

31.36=AC

Answer 2

Answer:

3.7 cm

Step-by-step explanation:

Given that,

△ABC ~ △PQR

That implies that, the corresponding sides are - AC and PR

By theorem,

(AC/PR)^2 = Area ABC/Area PQR

  AC/8.4 = 28/63

      AC = (28/63)x8.4

  [On simplification]

      AC = 3.7333...

Approximately,

AC = 3.7

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