Question

ratio of areas of two Triangles with equal Heights is 2 : 3 . If base of the smaller triangle is 6 CM then what is the corresponding base of the biggest Triangle ?

pls give proper ans written with diagram write in a notebook properly with diagram and send the pic pls pls

Answer 1

↑ Here is your answer ↓
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Let the height of each triangle be 'x',

Take two triangles,

$\triangle ABC$ and $\triangle PQR$

$ar(ABC) = 1/2 * b * h$

$= 1/2 * 6 * x$

$= 3x$

Now,

$ar(PQR) = 1/2 * b * h$

$= 1/2 * b * x$

$=bx/2$

Equate with the given ratio,

$3x \div bx/2 = 2/3$

$3x * 2/bx = 2/3$

'x' cancels out,

$6/b = 2/3$

Cross multiply,

$2b = 18$

$b = 18/2$

$b = 9$

Answer 2

Answer:

Step-by-step explanation:

ans is 9