Question

The base of an isosceles triangle measure 24cm and its area is 60cm find its perimeter​

Answer 1

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Area of an isosceles triangle =1/2×base×height

Here , Base=24cm

Area of isosceles triangle =

1/2 × 24 × height =60

So,12 h= 60

Hence , h = 60/12 = 5cm

Now height=5cm

base=24cm

So , hypotenuse = ?

We know by Pythagoras theorem that (AB)²+(BC)²= (AC)²

Here

a = 24/2=12cm (As base is divided into two parts by the altitude)

b=5cm

So,

(hypotenuse)² = (12)² + (5)² =169 cm

So , side = hypotenuse = √169 =13cm

So ,

Perimeter = 24 cm +13 cm +13 cm = 50 cm

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Answer 2

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