Question

The perimeter of an isosceles triangle with equal side of length 4 cm and third side of length 6 cm will be
(a) 10 cm
(b) 8 cm
(c) 20 cm
(d 14 cm
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Answer 1

Answer:

Equal sides length = 4 cm

base side l = 6cm

Step-by-step explanation:

6+4+4=14 cm

d is correct

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Answer 2

The perimeter of an isosceles triangle will be the option (d) 14 cm.

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Let's understand a few concepts:

If we consider the length of the two similar sides of the triangle as "a" and the length of the third side as "b", then the formula to calculate the perimeter of an isosceles triangle will be:

$\boxed{\bold{Perimeter \:of\:an\:isosceles\:triangle = sum\:of\:all\:3\:sides = a + a+ b = 2a + b}}$

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Let's solve the given problem:

The length of the equal sides (a) = 4 cm

The length of the 3rd side (b) = 6 cm

Therefore,

The perimeter of the isosceles triangle is,

= sum of 3 sides

= 2a + b

= (2 × 4) + 6

= 8 + 6

= 14 cm

Thus, the perimeter of an isosceles triangle with equal side of length 4 cm and the third side of length 6 cm will be 14 cm.

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