Question

if the perimeter of triangle is 26 and 2 sides of triangle is 6 and 12 find the area of triangle
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Answer 1

Answer:

$\sqrt{455}$

Step-by-step explanation:

26=6+12+x

x=26-18

x=8

s=26/2=13

$\sqrt{13(13 - 6)(13 - 12)(13 - 8)}$

$\sqrt{13 \times 7 \times 1 \times 5}$

$\sqrt{455}$

Answer 2

Hey! We can find the area using the heron's formula.

but before we need to get all the 3 sides

So,
1st side :- 6

2nd side :- 12

3rd side :- 8 ( difference of 1st and 2nd from total perimeter.)

So, now wee need to find the semiperimeter,

so s = a+b+c/ 2 ( where a, b ,c are sides)

so,

$s = \frac{6 + 12 + 8}{2}$

s = 13

now heron's formula,

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

= $\sqrt{13(13 - 6)(13 - 12)(13 - 8)}$

= $\sqrt{13(7)(1)(5)}$

= $\sqrt{13 \times 7 \times 1 \times 5}$

= $\sqrt{455}$

21.33 cm/ m ( according to question you can write the unit)

I hope this answers your question!