Question

An isosceles triangle has a base 6 cm long and one of the equal sides is 5 cm long. Find the area of the
triangle
​

Answer 1

Answer:

12 square cm

Step-by-step explanation:

An isosceles triangle has a base 6 cm long and one of the equal sides is 5 cm long. Find the area of the

triangle

Answer 2

Answer:

The area of the isosceles triangle is $12\ cm^2$

Step-by-step explanation:

The area of a triangle with three sides $a$, $b$ and $c$ can find using Heron's formula. Heron's formula is,

$Area =\sqrt{s(s-a)(s-b)(s-c)}$

where $s$ is obtained by dividing the sum of the sides by two. That is,

$s=\dfrac{a+b+c}{2}$

Given triangle has sides of length 6cm, 5cm and 5 cm.

Thus,

$s=\dfrac{6+5+5}{2}=\dfrac{16}{2}=8$

and the area is,

$Area =\sqrt{8(8-6)(8-5)(8-5)} =\sqrt{8\times 2\times 3\times 3}=\sqrt{144}=12\ cm^2$