if the base
of right angled triangle
is 3cm and the hypotenuse is 17.cm
Find perimeter.
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Answer:
Hope it helps!
Step-by-step explanation:
We are given,
Base= 3 cm
Hyp.= 17 cm
Length/Third Side= ?
Using pythagoras Theorm,
(Hyp.)²= Length² + Base²
(17)² = (Length)² + (3)²
289= Length² + 9
Length² = 289- 9
Length² = 280
Length= _/280
Length= 16.7 cm
Perimeter= Sum of all sides
= 17 cm+ 3 cm+ 16.7 cm
= 67. 1 cm
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let unknown side be 'x'
=>17²=3²+x²
=>x²=289-9=280
=>x=(280)½ cm
perimeter of triangle is sum of all three sides
=>perimeter =17+3+2(70)½
=20+2(70)½
=20+2(8.35)
=20+16.72
=36.72
therefore,perimeter is 36.72 cm
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