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The area of a triangular flag is 132 square centimetres. Its altitude is 2 centimetres longer than twice its base. Find the lengths of the altitude and the base.

User Pubudu
by
8.0k points

1 Answer

7 votes

Answer:

24 cm and 11 cm

Explanation:

GIVEN: The area of a triangular flag is
132 \text{ cm}^2. Its altitude is
2\text{ cm} longer than twice its base.

TO FIND: lengths of the altitude and the base.

SOLUTION:

Let the altitude and the base of flag be
a and
b

According to the question


a=2+2b

area of triangle
=(1)/(2)* base * alltitude=(1)/(2)a* b


\implies (1)/(2)(2b+2)b=132 \Rightarrow 2b^2+2b-264

Solving equation we get


b=11 then
a=24

Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.

User Danny Connell
by
8.5k points
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