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Q.

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.          

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a

11.55

b

12.35

c

14.99

d

13.856

answer is C.

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Detailed Solution

Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162=B2+82

B2=256-64

B=192

B=13.856units.

Therefore, the measure of the third side of a triangle is 13.856 units.

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