Question

Find area of triangle of sides 5cm, 12cm & 13cm without using Heron's formula.

Answer 1

Find area of triangle of sides 5cm, 12cm & 13cm without using Heron's formula.

Good question,

Here is your perfect answer!

As we can see,

5² + 12²

= 25 + 144

= 169 = 13²

Hence this is a right angled triangle.

Hence height and base are 5cm & 12cm.

Area = 1/2 * 5 * 12

= 60/2 cm²

= 30cm².

Answer 2

Answer:

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$\sf{ \bold{ \underline{ \red{given}{} }{} }{} }{}$

A triangle of sides

5cm, 12cm and 13 cm

$\sf{ \bold{ \orange{from \: the \: given \: information}{} }{} }{}$

The sides of the triangle are (5,12 and 13)

These are pythagorean triplets

Which means that

12^2+5^2 = 13^2

So, This forms a Right angled Triangle

Where Hypotenuse = 14cm

Base = 5cm

Height = 12 cm

So, The area of the Triangle = 1/2bh

=>1/2*5*12

By applying we will get an answer which is 30 sq cm

$\sf{ \bold{ \green{final \: answer \: is \: = 30sq \: cm}{} }{} }{}$

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