9303753286127016 The areas of two similar triangles ABC and DEF are 144cm2 and 81cm2, respectively. If the longest side of larger triangle ABC is 36 cm, then the longest side of the smaller triangle DEF is (1) 20 cm (2) 26 cm (3) 27 cm (4) 30 cm

The areas of two similar triangles ABC and DEF are 144cm2 and 81cm2, respectively. If the longest side of larger triangle ABC is 36 cm, then the longest side of the smaller triangle DEF is (1) 20 cm (2) 26 cm (3) 27 cm (4) 30 cm

 Answer: (3) 27 cm

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Ratio of areas = 144:81

Ratio of sides = 12:1

Let the longest side be X

Then

36 : X = 12:9

X = (36 × 9)/12

X = 27 cm

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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