Question

Two triangles have their sides measuring 5,6,9 and 7.5,13.5,20.25 respectively.There areas are in the ratio

Answer 1

Answer:

10.95 : 15.527=2.190:3.105 = 2:3 approximately

Step-by-step explanation:

area of a triangle = √(s(s-a)(s-b)(s-c))

where a,b and c are sides of a triangle and s=(a+b+c)/2

in first case a=5, b=6, c=9

s= (5+6+9)/2 = 20/2 = 10

A= √(10 (5-9) (6-9) (10-9))

  = √(10*-4*-3*1)

  = √120 =10.95

in second case a = 7.5, b=13.5, c=20.25

s= (7.5+13.5+20.25)/2 = 20.625

A= √(20.625 (20.625-7.5) (20.625-13.5) (20.625-20.25))

  = √(20.625 * 13.125 * 7.125 * 0.125)

  = √241.0949 = 15.527

ratio is 10.95 : 15.527

Answer 2

Answer:

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Step-by-step explanation:

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