The perimeter of a triangular field is 240 dm. If two of its sides are 50 dm and 78 dm, find
of the perpendicular on the side of length 50 dm from the opposite vertex. Calculate also
watering it at 2.75 per 100 m².
Answers
Explanation:
Perimeter of the triangle = 240 dm
Two sides (given) = 78 dm and 50 dm
Third side of the triangle = 240 - (78 + 50)
= 240 dm - 128 dm
= 112 dm
s = (a + b + c)/2
= (78 + 50 + 112)/2
= 240/2
s = 120 dm
Area of the triangle = √s(s - a)(s - b)(s - c)
⇒ √120 (120 - 50)(120 - 78)(120 - 112)
⇒ √120*70*42*8
⇒ √2822400
Area of the triangle = 1680 sq dm
Now,
Area of the triangle = 1/2*base*height
Height = 2*area/base
⇒ (2*1680)/50
⇒ 336/5
height = 67.2 dm
Plz Mark as BRAINLIEST
Answer:
height = 67.2 dm
Explanation:
Perimeter of the triangle = 240 dm
Two sides (given) = 78 dm and 50 dm
Third side of the triangle = 240 - (78 + 50)
= 240 dm - 128 dm
= 112 dm
s = (a + b + c)/2
= (78 + 50 + 112)/2
= 240/2
s = 120 dm
Area of the triangle = √s(s - a)(s - b)(s - c)
⇒ √120 (120 - 50)(120 - 78)(120 - 112)
⇒ √120*70*42*8
⇒ √2822400
Area of the triangle = 1680 sq dm
Now,
Area of the triangle = 1/2*base*height
Height = 2*area/base
⇒ (2*1680)/50
⇒ 336/5
height = 67.2 dm