Question

find the area triangletwo side of which 8 cm and 11cm and the perimeter is 32cm
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Answer 1

Answer:

ans

Step-by-step explanation:

43.82 cm²

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Answer 2

Answer:

8√30

Step-by-step explanation:

let the other side be x

perimeter of triangle = 32cm

8cm + 11cm + x cm = 32cm

19 + x = 32cm

x = 32 - 19

x = 13 cm

we can use herons formula to find it's area

=

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

where

s = semi perimeter

a, b, c = sides of the triangle

formula of semi perimeter

$\frac{sum \: of \: all \: sides}{2}$

$\frac{8 + 11 + 13}{2}$

$\frac{32}{2}$

===) 16cm

$\sqrt{16(16 - 8)(16 - 11)(16 - 13}$

$\sqrt{16 \times 8 \times 5 \times 3}$

$\sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 3}$

$2 \times 2 \times 2 \sqrt{2 \times 5 \times 3}$

$8 \sqrt{30}$

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