Question

Ab=5cm,Bc=3cm,CA=4cm fins area using Heron’s formula

Answer 1

Answer:

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Answer 2

Given -

• AB = 5 cm
• BC = 3 cm
• CA = 4 cm

To find -

• Area

Solution -

Heron's formula -

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

To find s -

• s = $\sf{\dfrac{a + b + c}{2}}$

Substitute the given values.

= $\sf{\dfrac{5 + 3 + 4}{2}}$

= $\sf{\dfrac{12}{2}}$

= 6

• s = 6 cm

Now, substitute the given values in Heron's formula -

= $\sf{\sqrt{6(6 - 5)(6 - 3)(6 - 4)}}$

= $\sf{\sqrt{6(1)(3)(2)}}$

= $\sf{\sqrt{6 \times 6}}$

= 6$\sf{cm^2}$

• Area = 6 $\sf{cm^2}$