14. Find the perimeter of the figure in which a semicircle is drawn on BC as
diameter. BAC = 90°.
B C
A
5 cm 12 cm
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Answer:
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262/7
Step-by-step explanation:
In the figure it is given that the AB = 5 cm and AC =12 cm and angle BAC = 90°
we have to find the perimeter of the figure
In rt ∆BAC
By Pythagoras theoram
(BC)^2 = (AB) ^2 + (AC) ^2
(BC)^2= (5) ^2 + (12) ^2
(BC) ^2 = 25 + 144
(BC) ^2 = 169
(BC) = √169
BC=13 cm
perimeter of figure = perimeter of semicircle + length of AB +AC
perimeter of figure = πd/ 2 + 5 + 12
perimeter of figure = 22/7 × 13 × 1/2 + 5 + 12
I have not added the third side of triangle because it is already added in the perimeter of senicircle as diameter
perimeter of figure = 143/7 + 17
perimeter of figure = 119 + 143 / 7
perimeter of figure = 262/7
Hope it will help you
Thanks.....
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