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option 3
u may use Pythagoras theorem
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Answer:
Option A is the correct answer.
Step-by-step explanation:
Let A,B and C be three sides of triangle.
AB is the base of triangle 20 cm and h be the height of triangle, CD.
BD is side of triangle 10 cm and AD be unknown side.
As per the formula of area of triangle Area = b*h/2.
Keeping the values in formula -
80*20*h/2
h = 160/20
h = 8 cm.
Finding out the length of CB,
C * B ^ 2 = 10 ^ 2 - 8 ^ 2
C * B ^ 2 = 100 - 64
Now,
C * B ^ 2 = B * D ^ 2 - C * D ^ 2 CB = √36 = 6 cm.
Now, finding third side of triangle, AD.
AC = AB-CB= 20 - 6 = 14 cm
A * D ^ 2 = A * C ^ 2 + C * D ^ 2
A * D ^ 2 = 14 ^ 2 + 8 ^ 2
A * D ^ 2 = 196 + 64
AD=16.12 cm or 2√65 cm.
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