Question

The sides of a triangle are 4 cm. ,5cm., 3 cm. What will be its area.​

Answer 1

Answer:

Area of the △ is 6cm².

Step-by-step explanation:

Here, to find it's area we'll use the Heron's formula.

Given three side of the △ :

• a = 5
• b = 4cm.
• c = 3cm.

Step 1 : Find the Semi-perimeter :

→ S = (a + b + c) ÷ 2

Where,

• ‘s’ denotes the Semi-perimeter of the triangle.
• (a + b + c) denotes the all three sides.

So,

→ s = (4 + 5 + 3) ÷ 2

→ s = 12 ÷ 2

→ s = 6cm.

Step 2 : Calculate it's area :

Using heron's formula :

→ √s(s - a)(s - b)(s - c)

From the given values :

→ √6(6 - 5)(6 - 4)(6 - 3)

→ √6(1)(2)(3)

→ √36

→ 6cm²

∴ Area of the triangle is 6cm²

Answer 2

Given :-

• The sides of a triangle are 4 cm, 5cm, 3cm. What will be its area.

To find :-

• Area of the ∆ is 6cm².

Solution :-

• Here, to find it's area we'll use the Heron's formula.

Given three sides of ∆ :

• ${\tt{a = 5cm}}$
• ${\tt{b = 4cm}}$
• ${\tt{c = 3cm}}$

${\sf\underline{Step~1}}$: Find the Semi - perimeter :

→ ${\tt{S = (a + b + c) ÷ 2}}$

Where,

• ' s ' denotes the Semi - perimeter of the triangle.

• (a + b + c) denotes the all three sides.

So,

→ ${\tt{s = (4 + 5 + 3) ÷ 2}}$

→ ${\tt{12 ÷ 2}}$

→ ${\tt{6cm}}$

${\sf\underline{Step~2}}$: Calculate it's area :

Using heron's formula

→ ${\tt{√s(s - a)(s - b)(s - c)}}$

From the given values :

→ ${\tt{√6(6 - 5)(6 - 4)(6 - 3)}}$

→ ${\tt{√6(1)(2)(3)}}$

→ ${\tt{√36}}$

→ ${\tt{6cm²}}$

Hence,

•°• Area of the triangle is $\boxed{\tt\underline{6cm²}}$$\large{\bf\green{✓}}$