Question

If the area of right angle triangle is 180m^and height is 9m^ then find its base

Answer 1

area = 180 m^

height = 9m^

let base be b then,

1/2 × base × height = 180m^

1/2 × b × 9m^ = 180 m^

b × 40.5 = 180m^

b = 180/40.5 m

b = 4.4 m

hence base = 4.4m ans

Answer 2

Answer :

➥ The base of the right angle traingle = 40 m

Given :

➤ Area of the right angle traingle (A) = 180 m²

➤ Height of the right angle traingle (h) = 9 m

To Find :

➤ Base of the right angle traingle (b) = ?

Solution :

Let ,

The base of the traingle be "b"

We can find base of the traingle by using the formula of area of right angle traingle which says ½ × base × height,

☃️ So let's find base !

As we know that

$\tt{:\implies \footnotesize{Area_{(right \: angle \: traingle)} = \dfrac{1}{2} \times base \times height}}$

$\tt{:\implies 180 = \dfrac{1}{2} \times b \times 9}$

$\tt{:\implies 180 \times 2 = 1 \times b \times 9}$

$\tt{:\implies 360 = 1 \times b \times 9}$

$\tt{:\implies 360 = b \times 9}$

$\tt{:\implies 360 = 9b}$

$\tt{:\implies \cancel{\dfrac{360}{9}} = b }$

$\tt{:\implies 40 = b}$

$\bf{:\implies \underline{ \: \: \underline{ \red{ \: \: b = 40 \: m \: \: }} \: \: }}$

║Hence, the base of the traingle is 40 m.║

$\:$

Additional Information :

What is the formula of area of a right angle traingle ?

➜ Area = ½ × b × h

Where,

• b is the base of traingle.
• h is the height of traingle.

What is the formula of perimeter of a right angle traingle ?

➜ Perimeter = a + b + c

Where

• a, b, c is the measure of it's side.

What is formula of base in Pythagorous theorem ?

➜ b² = c² - a²

Where,

• b is the base.
• c is the hypotenuse.
• a is the perpendicular.

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