the side of triangle are 8cm 15 cm 17 cm find the area of triangle and find the length of the altitude draw on the side big length 17 cm
Answers
Answered by
2
Let a ABC whose sides are 8 cm., 15 cm., and 17 cm. respectively.
And, take base as 17 cm.
Now,
s = 20 cm
s - a = 20 - 8 => 12 cm
s - b = 20 - 15 => 5 cm
s - c = 20 - 17 => 3 cm
Then,
Area of = under root 20 * 12 * 5 * 3
=> Area = under root 4 * 5* 4 * 3 * 5 * 3
=> Area = 4 * 5 * 3
=> Area = 60 cm*cm
Hence,
Area of = 1/2 * b * h
=> 60 = 1/2 * 17 * h
=> h = 120/17
=> h = 7.05 cm
And, take base as 17 cm.
Now,
s = 20 cm
s - a = 20 - 8 => 12 cm
s - b = 20 - 15 => 5 cm
s - c = 20 - 17 => 3 cm
Then,
Area of = under root 20 * 12 * 5 * 3
=> Area = under root 4 * 5* 4 * 3 * 5 * 3
=> Area = 4 * 5 * 3
=> Area = 60 cm*cm
Hence,
Area of = 1/2 * b * h
=> 60 = 1/2 * 17 * h
=> h = 120/17
=> h = 7.05 cm
Similar questions