Find the area of an isosceles triangle whose base is 16 cm and length of each of the equal sides is ...........

Quantitative Aptitude ( CCS) Mensuration 2D

Find the area of an isosceles triangle whose base is 16 cm and length of each of the equal sides is 10 cm.

48cm²

60cm²

40cm²

None of these

Equal sides of the isosceles triangle = 10cm, Base = 16cm

Let's use herons formula to find the area.

Area = √s (s - a) (s - b) (s - c)
a = 10cm, b = 10cm, c = 16cm

s = a+b+c/2
s = 10 + 10 + 16/2 = 36/2 = 18

Area = √s (s - a) (s - b) (s - c)

= √18 (18 - 10) (18 - 10) (18 - 16)

= √18 × 8 × 8 × 2

= √3 × 3 × 2 × 8 × 8 × 2

= 3 × 2 × 8 = 48cm²

Hence, option 1 is the correct answer.

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