Question

area of triangle if sides are in centimetre
(a) 50,80,120​

Answer 1

Answer:

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Step-by-step explanation:

.area of triangle =1/2×b×h

A=1/2×50×80

A=2000cm^2

(or)

A=1/2×80×120

A=4800cm^2

(or)

A=1/2×50×120

A=3000

Answer 2

Answer: 1452.36 $cm^{2}$

Step-by-step explanation:

There are (generally) two ways to find the area of a triangle.

Since, we don't know the height here, we will use Heron's Formula to solve this question.

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

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

a, b and c are the sides of the triangle.

Now substitute a = 50, b = 80 and c = 120 and find s.

Perimeter = 50 + 80 + 120 = 250

s = Perimeter/2 = 250/2 = 125

Now, put the values in the formula and find the area of the triangle.

Area of triangle

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

= $\sqrt{125(125-50)(125-80)(125-120)}$

= $\sqrt{125(75)(45)(5)}$

= $\sqrt{2109375}$

= 1452.36...

Therefore, area of the triangle (approximately) = 1452.36 $cm^{2}$