Question

The area of a triangle is 50 cm2. If the altitude is 8cm, what is its base. 12.5cm
12cm
13cm​

Answer 1

Answer:

Solution

Given:-

The area of a triangle = 50\sf{cm}^{2}cm

2

It's altitude is 8cm.

To Find:-

Find the base of a triangle =?

Solution:-

Let's understand

Here, The area of triangle is given 50sqcm and it's altitude is 8cm and we have to find it's base.

Therefore,

Area of triangle = 50\sf{cm}^{2}cm

2

It's altitude is 8cm.

We know that,

\large\sf\green{Area\:of\:triangle={\frac{1}{2}×Altitude×Base}}Areaoftriangle=

2

1

×Altitude×Base

Now,Put the value

\begin{gathered} \sf \implies \: 50 {cm}^{2} = \frac{1}{2} \times 8cm \times base \\ \\ \sf \implies \: 50 {cm}^{2} = 4cm \times base \\ \\ \sf \implies \: \frac{50}{4} = base \\ \\ \sf \implies \therefore \: base = 12.5cm\end{gathered}

⟹50cm

2

=

2

1

×8cm×base

⟹50cm

2

=4cm×base

⟹

4

50

=base

⟹∴base=12.5cm

Hence, Base of a triangle is 12.5cm.

Verification:-

\large\sf\green{Area\:of\:triangle={\frac{1}{2}×Altitude×Base}}Areaoftriangle=

2

1

×Altitude×Base

\begin{gathered} \sf \implies \: 50 {cm}^{2} = \frac{1}{2} \times 8cm \times 12.5cm \\ \\ \sf \implies \: 50 {cm}^{2} = 50 {cm}^{2} \end{gathered}

⟹50cm

2

=

2

1

×8cm×12.5cm

⟹50cm

2

=50cm

2

LHS = RHS

Hence, Proved

Answer 2

Answer:

Given:-

• The area of a triangle = 50
• It's altitude is 8cm.

To Find:-

• Find the base of a triangle =?

Solution:-

Let's understand

Here, The area of triangle is given 50sqcm and it's altitude is 8cm and we have to find it's base.

Therefore,

• Area of triangle = 50
• It's altitude is 8cm.

We know that,

$\large\sf\green{Area\:of\:triangle={\frac{1}{2}×Altitude×Base}}$

Now,Put the value

$\begin{gathered} \sf \implies \: 50 {cm}^{2} = \frac{1}{2} \times 8cm \times base \\ \\ \sf \implies \: 50 {cm}^{2} = 4cm \times base \\ \\ \sf \implies \: \frac{50}{4} = base \\ \\ \sf \implies\therefore\:base=12.5cm\end{gathered}$

Hence, Base of a triangle is 12.5cm.

Verification:-

$\large\sf\green{Area\:of\:triangle={\frac{1}{2}×Altitude×Base}}$

$\begin{gathered} \sf \implies \: 50 {cm}^{2} = \frac{1}{2} \times 8cm \times 12.5cm \\ \\ \sf \implies \: 50 {cm}^{2} = 50 {cm}^{2} \end{gathered}$

• LHS = RHS
• Hence, Proved