Question

Find the base of a right-angled triangle with area 300 cm2 and height 30 cm is __________.​

Answer 1

Given

Area of right-angled triangle is 300 cm²

Height of right-angled triangle is 30 cm

What To Find

Base of a right angled triangle

Formula Using

$\begin{gathered} {\underline{\boxed{ \sf {\red{Area \: = \: \frac{1}{2} \: \times \: Base × Height}}}}}\end{gathered}$

Solution

Let assume the base is x cm

$\large\bf{\purple{ \implies}} \rm \: \: Area \: = \: \frac{1}{2} \: \times \: Base × 30 \: cm$

$\large\bf{\purple{ \implies}} \rm \: \: 300 \: {cm}^{2} \: = \: \frac{1} { \cancel2} \: \times \: x × \cancel{30} \: ^{15} \: cm$

$\large\bf{\purple{ \implies}} \rm \: \: 300 \: {cm}^{2} \: = \: 15x$

$\large\bf{\purple{ \implies}} \rm \: \: x \: = \: \cancel\frac{300}{15}$

$\large\bf{\purple{ \implies}} \rm \:x \: = \: 20 \: cm$

Hence ,the base of right angled triangle is 20 cm

Answer 2

${\huge{\boxed{\fcolorbox{red}{blue}{QUESTION}}}}$

Find the base of a right-angled triangle with area 300 cm2 and height 30 cm is _____.

$———————————————$

To calculate the area of the triangle ,the formula usually used is:

${\orange{ \frac{1}{2} \times base \times height}}$

$———————————————$

In our question the area and height are given. We need to find the base.

So, let's begin.

At first,take the base as x.

Then, we can form an equation as:

${\red{300 = \frac{1}{2} \times x \times 30}}$

Now, let's solve it and get the answer.

$300 = \frac{1}{2} \times x \times 30$

$= > 300 \div \frac{1}{2} \div 30 = x$

$= > 300 \times \frac{2}{1} \times \frac{1}{30} = x$

$= > {\blue{20 = x}}$

$———————————————$

${\huge{\boxed{\fcolorbox{red}{blue}{ANSWER}}}}$

Base=20 cm

$———————————————$

${\large{\mathcal{\pink{Have \: a \: nice \: day \: ahead}}}}$