base of triangle is 9 and height is the 5 . base of another triangle is 10 and the height is 6. find the ratio of the area of this triangle.
Answers
Question:-
Base of triangle is 9 and height is the 5 . Base of another triangle is 10 and the height is 6. Find the ratio of the area of these triangle.
Required Answer:-
Given:-
- Base of a triangle is 9 and height is 5.
- Base of another triangle is 10 and height is 6.
To Find:-
- The ratio of the area of these triangles.
Solution:-
Let,
The triangle having 9 units base and 5 units height be ∆ABC
And,
The triangle having 10 units base and 6 units height be ∆PQR
We know that:-
Area of triangle = 1/2(base × height) square units
Therefore,
Area of ∆ABC = 1/2(9×5) square units
=> Area of ∆ABC = 1/2×45 square units
=> Area of ∆ABC = 22.5 square units
Again,
Area of ∆PQR = 1/2(10×6) square units
=> Area of ∆PQR = 1/2 × 60 square units
=> Area of ∆PQR = 30 square units
Now,
Ratio of ∆ABC and ∆PQR = ∆ABC : ∆PQR
=> Ratio of ∆ABC and ∆PQR = 22.5 : 30
=> Ratio of ∆ABC and ∆PQR = 225 : 300
=> Ratio of ∆ABC and ∆PQR = 3:4
Hence, the ratio of the triangles is 3:4
Answer:
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