A field is in the form of a triangle if its area is 2.5 hactare and the length of its base os 26m find its altitude (height)
Answers
Given :---
- Area of ∆ = 2.5 hectare .
- Base length = 26m .
- Altitude = ?
Triangle :--- is a plane figure with three straight sides and three angles.
→ Area of ∆ = 1/2 * Base * Height = 1/2* ab* sinC = 1/2 * bc *sinA = 1/2 * ca* sinB = √( s(s-a)(s-b)(s-c) ) [ where s = (a+b+c)/2 ]
→ There are three special names given to triangles that tell how many sides (or angles) are equal:---
1) Equilateral Triangle :-- Have Three equal sides and Three equal angles, always 60°..
2) Isosceles Triangle :-- Have Two equal sides and Two equal angles..
3) Scalene Triangle :-- No equal sides and No equal angles...
→ Triangles can also have names that tell you what type of angle is inside: ---
1) Acute Triangle = All angles are less than 90°..
2) Right Triangle = Has a right angle (90°)..
3) Obtuse Triangle = Has an angle more than 90°..
→ The three interior angles always add to 180°...
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Solution :---
Area of ∆ = 2.5 Hectare .
we know that,
→ 1 hectare = 10000m²
→ 2.5 hectare = 25000 m² .
So, Area of ∆ is = 25000m² .
now,
Area = 1/2 * Base * Height
Putting values we get,
→ 25000 = 1/2 * 26 * Height
→ 25000 = 13 * Height
Dividing both sides by 13 we get,
→ Height = (25000/13) = 1923.07m
Hence, Height or Altitude of given ∆ will be 1923.07m (Approx) .