Question

Q: In AABC, if AB = 7 cm, BC = 8 cm CA = 9 cm, then find the area of abc
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Answer 1

Answer:

hey here is your solution

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Step-by-step explanation:

so for this sum we need to apply herons formula to find area of triangle

so now we know that

semiperimeter s=a+b+c/2

where a b and c are sides of triangle

so s=7+8+9/2

=24/2

so s=12 cm

now using herons formula

we get

area of triangle abc=

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

=

$\sqrt[]{12 \times (12 - 7)(12 - 8)(12 - 9)}$

=

$\sqrt[]{12 \times 5 \times 4 \times 3}$

=

$\sqrt[]{60 \times 12}$

=

$\sqrt[]{720}$

=12 root 5

so area of triangle abc is 12root 5