(b) The sides of a triangle are 29 cm, 20 cm and 21 cm. Find the area of the triangle.
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Answer:
Area of the Triangle = 210cm²
Step-by-step explanation:
Given :
Sides of a Triangle = 29cm [ a ], 20 cm [ b ] and 21 cm [ c ]
To find out :
Area of the Triangle = ?
Area of a Triangle formula is :
Square root of s ( s - a )( s - b )( s - c )
's' over here, is nothing but :
s = ( a + b + c )/2
So, s = (29 + 20 + 21)/2
s = 70/2
s = 35
So, when we apply the formula :
= Square root of s ( s - a )( s - b )( s - c )
= Square root of 35 ( 35 - 29 )( 35 - 20 )( 35 - 21 )
= Square root of 35 × 6 × 15 × 14
= Square root of 44100
= 7 × 5 × 3 × 2
= 210 cm²
Therefore, Area of the Triangle = 210 cm²
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