Question

an isosceles Triangle has perimeter 50 cm and
each of equal sides are 15cm. Find the area
of the triangle.​

Answer 1

Answer:

a + b + c = 50 cm

a and b are equal in an isoceles triangle

so,

15 cm + 15 cm + X = 50 cm ( perimeter)

Let the unknown side's measure be X

30cm + X = 50 cm

X = 50 cm - 30cm

X = 20 cm

so c = 20 cm

____________________________________

Area of a triangle = 1/2 b h

Answer 2

Hi ⭐♥️❣️❤️

$15 cm+ 15cm + x = 50 cm$

$x = 20cm$

$\therefore \: 3 \: sides \: are : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a = 15 \: cm \: \: \: \: \: \: \: \: \: b = 15cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$c = 20cm$

Using herons formula;

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

$= \frac{50}{2}$

$= 25cm$

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

$= \sqrt{25(25 - 15)(25 - 15)(25 - 20)}$

$= \sqrt{25 \times 10 \times 10 \times 5}$

$= \sqrt{12500}$

$= 111.8 \: cm {}^{2}$

So the area is 111.8 cm^2

Hope it helps you

Please mark as brainliest