A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is _________.
Answers
Answered by
4
Answer 50
Step-by-step explanation:
Area of traingle 1 =5×6×5
=150
Area of traingle 2= 5×8×5
=200
Difference between the areas = 200-150
=50
Answered by
1
Given :
- Length of three sides of the expected triangle = 5,6,5 units
- Length of three sides of the accidentally made triangle = 5,8,5 units
To find : The difference between the area of the two triangles.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Here, we have to use the Heron's formula to calculate the area of the given triangles.
According to the Heron's formula :
Area of triangle = √[s×(s-a)×(s-b)×(s-c)]
Here,
s = semi-perimeter of the triangle
a,b,c = three sides of the triangle
Now,
Semi-perimeter = Perimeter ÷ 2
In case of expected triangle :
- Semi-perimeter = (5+6+5)/2 = 8 units
- Area = √[8×(8-5)×(8-6)×(8-5)] = √(8×3×2×3) = 12 sq. units
In case of mistakenly made triangle :
- Semi-perimeter = (5+8+5)/2 = 9 units
- Area = √[9×(9-5)×(9-8)×(9-5)] = √(9×4×1×4) = 12 sq. units
Difference in their area = (12-12) sq. units = 0 sq.units
Hence, the difference between their areas is 0 sq.units
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