Question

Example 5 Find the area and perimeter of a
triangle, whose base is 6 cm and each equal
sides are 5 cm and height 4 cm.​

Answer 1

Answer: Perimeter = 16 cm

Area = 12 cm²

Step-by-step explanation:

Given :

Base = 6

Each equal sides measure = 5 cm

Height = 4 cm

To find:

Area and the perimeter of the triangle

Solution :

As we know, perimeter is the sum of boundaries/sides of a figure.

So, Perimeter of the triangle = sum of the measures of all the three sides.

$\implies Perimeter \: of \: the \:triangle= 6+5+5\\\\\implies \bf Perimeter = 16\: cm$

Now, Area of a triangle = $\boxed {\frac{1}{2}\times base\times\:height}$

Base = 6 cm

Height = 4 cm

$\implies Area\:of\: the\: triangle = \frac{1}{2}\times 6\times 4$

$\implies \bf Area = 12\: cm^2$

Answer 2

Perimeter = 16 cm

Area = 12 cm²

Step-by-step explanation:

Given :

Base = 6

Each equal sides measure = 5 cm

Height = 4 cm

To find:

Area and the perimeter of the triangle

Solution :

As we know, perimeter is the sum of boundaries/sides of a figure.

So, Perimeter of the triangle = sum of the measures of all the three sides.

\begin{gathered}\implies Perimeter \: of \: the \:triangle= 6+5+5\\\\\implies \bf Perimeter = 16\: cm\end{gathered}

⟹Perimeterofthetriangle=6+5+5

⟹Perimeter=16cm

Now, Area of a triangle = \boxed {\frac{1}{2}\times base\times\:height}

2

1

×base×height

Base = 6 cm

Height = 4 cm

\implies Area\:of\: the\: triangle = \frac{1}{2}\times 6\times 4⟹Areaofthetriangle=

2

1

×6×4

\implies \bf Area = 12\: cm^2⟹Area=12cm

2