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.

Question

asked Nov 25, 2021 178k views

1 Answer

Danny Connell · Answer 1 · 2021-11-30T03:03:46+0000

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
and

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.