Question

the perimeter of a isosceles triangle is 32cm.The ratio of the equal side to its base is 3:2.find the length of the smallest altitude.​

Answer 1

$\huge{\bigstar}}$$\boxed{\huge{\mathfrak{\red{Answer}}}}$$\huge{\bigstar}}$

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Let ABC an isosceles ∆ with perimeter 32 cm .

Ratio of equal side to it's base is 3:2 .

Let sides of ∆ be,

AB = BC = 3x

AC = 2x

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Perimeter of ∆ → 32 cm

AB + BC + AC → 32 cm

3x + 3x + 2x → 32 cm

8x → 32 cm

$x \longrightarrow \frac{32}{8}$

$\boxed{x \longrightarrow 4}$

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$\mathfrak{Length\:of\:smallest\:side \longrightarrow AC \rightarrow 8\:cm}$