Question

A right-angled triangle has a base four centimetres in length, a hypotenuse five centimetres in length and its third side is three centimetres long. Calculate the area of the triangle.​

Answer 1

Answer:

Answer is in the photo.

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Answer 2

$\bf \green☘ \: \pink{Given \: Information :-}$

A right angled triangle in which,

• Base = 4 cm
• Hypotenuse = 5 cm
• Third side = 3 cm = Perpendicular = Height

$\bf\green☘ \: \purple{To \: Find :-}$

• The area of the Triangle

$\bf\green☘ \: \orange{Concept :- }$

In this question we will use the concept of area of a triangle, the formula for the area of a triangle is :

$\qquad \bull \: \blue{\underline{\boxed{ \sf area = \frac{1}{2} \times base \times height}}}$

Now in this question, we have been provided with all the three sides, so we can simply figure out that which side is base and which is height ( perpendicular ). So we will draw the diagram, and then we will try to figure out. In this question, the diagram so obtained will be as the one in the attachment. Therefore, we get :

• base = BC = 4 cm
• Height = Perpendicular = AB = 3 cm

Now we will put given values in the formula and get our required answer.

$\bf\green☘ \: \red{Solution :-}$

$\sf \hookrightarrow \: Area = \dfrac{1}{2} \times BC \times AB \\ \\ \sf \hookrightarrow \: Area = \frac{1}{2} \times 4 \times 3 \: \: \: \: \: \: \: \: \\ \\ \sf \hookrightarrow \: Area = \frac{1}{ \cancel2} \times \cancel 4 \: \: \: ^{2} \times 3 \: \: \: \\ \\ \sf \hookrightarrow \: Area = 2 \times 3 = 6 \: \: {cm}^{2} \:$

Therefore, the area of the given right angled triangle is $\color{teal}\underline{\boxed{ \sf6 \: {cm}^{2} }}$.