Question

the base of an isosceles traingle is 16 cm and its area is 48 cm^2 find the perimeter​

Answer 1

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Base - 16cm

Area - 48cm^2

Height -?

Measure of one side - ?

Perimeter - ?

We are only given with base and the area...

we need to find the height of the triangle...

: 1/2*base*height=area of a triangle

so, 1/2*16*H=48

H = 6cm^2

Now we need to find the measure of any one side , it is an isosceles triangle so the length of both the sides measure the same...

If we divide the triangle in 2 parts, we get 2 right angled triangles

Base of each triangle = 8cm

Now, the sides of the isosceles triangle now become hypotenuse of a right angled triangle...

Hypotenuse = A^2 + B^2

So, A= 8cm

     B=  6cm

Now hypotenuse = 8^2+6^2 = 64+36=10^2

= 10Cm of one side

2 sides = 20cm

perimeter = 20+16

=36cm

so, the perimeter of the triangle is 36 cm

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