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leva [86]
4 years ago
6

Class : IX

Mathematics
1 answer:
almond37 [142]4 years ago
5 0

Step-by-step explanation:

a=8cm

b=15cm

c=17cm

s=a+b+c/2

 =8+15+17/2

 =40/2

 =20

Using heron's formula,

ar. of triangle= √s(s-a)(s-b)(s-c)

                     =√20(20-8)(20-15)(20-17)

                     =√20×12×5×3

                      =√2×2×5×2×2×3×5×3

                      =2×2×3×5

                      =60cm²

On side 17cm,

Ar. of triangle=1/2×b×h

60=1/2×17×h

∴h=60×2/17

    =7.05 cm

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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

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On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

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The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

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m_ {1} = \frac {5} {2}

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In point-slope form we have:

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ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

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