18. Simplify: (a) 8-13×3√8(b) 323×31319. The sides of triangle are 8cm, 15cm and 17 cm. Find the area of this triangle.
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Hii Mate !!
Here is your answer :
Solution :
(a) 8 - 13 × 3√8
=> 8 - 39√8
( b ) 323 × 31319
=> 1013897.
( c ) Sides of triangle are : 8 cm , 15 cm and 17 cm.
Let , First sides ( A ) = 8 cm.
Second side ( B ) = 15 cm
And,
Third side ( C ) = 17 cm.
Therefore,
Perimeter of a triangle = First side + Second side + Third side = 8 + 15 + 17 = 40 cm.
Therefore,
Semi perimeter ( S ) = Perimeter of triangle/2 = 40/2 = 20 cm.
• ( Semi perimeter - First side ) = 20 - 8 = 12 cm.
• ( Semi perimeter - Second side ) = 20 - 15 = 5 cm
And,
• ( Semi perimeter - Third side ) = 20 - 17 = 3 cm.
Therefore,
Area of triangle = √S(S - A ) ( S - B ) ( S - C ).
=> √20 × 12 × 5 × 3 cm².
=> √2*2*5*2*2*3*5*3
=> 2*2*3*5
=> 60 cm²
Hence,
Area of triangle is 60 cm².
Hope it helps you ♥
By Rishi403
BeBrainly...
Here is your answer :
Solution :
(a) 8 - 13 × 3√8
=> 8 - 39√8
( b ) 323 × 31319
=> 1013897.
( c ) Sides of triangle are : 8 cm , 15 cm and 17 cm.
Let , First sides ( A ) = 8 cm.
Second side ( B ) = 15 cm
And,
Third side ( C ) = 17 cm.
Therefore,
Perimeter of a triangle = First side + Second side + Third side = 8 + 15 + 17 = 40 cm.
Therefore,
Semi perimeter ( S ) = Perimeter of triangle/2 = 40/2 = 20 cm.
• ( Semi perimeter - First side ) = 20 - 8 = 12 cm.
• ( Semi perimeter - Second side ) = 20 - 15 = 5 cm
And,
• ( Semi perimeter - Third side ) = 20 - 17 = 3 cm.
Therefore,
Area of triangle = √S(S - A ) ( S - B ) ( S - C ).
=> √20 × 12 × 5 × 3 cm².
=> √2*2*5*2*2*3*5*3
=> 2*2*3*5
=> 60 cm²
Hence,
Area of triangle is 60 cm².
Hope it helps you ♥
By Rishi403
BeBrainly...
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