A triangle has five sides 5 CM , 12 CM, 13 CM. Find the length to one decimal place the perpendicular from the opposite vertex to the side whose length is 13 CM...
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Given triangle is og sides 5 , 12 , 13
here , 5^2 + 12^2 = 13^2
so it must be a right Angeles triangle with 13 as hypotenuse
so sides 5 and 12 making 90° angle
it's area is = 1/2 × 5 × 12
now if we draw a perpendicular on side 13 from its opposite vertex where 90° angle is there .
then considering 13 as base and drawn perpendicular on it as height ,
area of same triangle = 1/2 × 13 × perpendicular drawn of side 13
so ,
1/2 × 13 × perpendicular drawn of side 13 = 1/2 × 5 × 12
13 × perpendicular drawn of side 13 = 5 × 12
13 × perpendicular drawn of side 13 = 60
perpendicular drawn of side 13 = 60 / 13
perpendicular drawn of side 13 = 4.61 cm
here , 5^2 + 12^2 = 13^2
so it must be a right Angeles triangle with 13 as hypotenuse
so sides 5 and 12 making 90° angle
it's area is = 1/2 × 5 × 12
now if we draw a perpendicular on side 13 from its opposite vertex where 90° angle is there .
then considering 13 as base and drawn perpendicular on it as height ,
area of same triangle = 1/2 × 13 × perpendicular drawn of side 13
so ,
1/2 × 13 × perpendicular drawn of side 13 = 1/2 × 5 × 12
13 × perpendicular drawn of side 13 = 5 × 12
13 × perpendicular drawn of side 13 = 60
perpendicular drawn of side 13 = 60 / 13
perpendicular drawn of side 13 = 4.61 cm
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