Question

the perimeter of an isosceles triangle is 42 cm and its base is 1 ½ times each of the equal sides. Find the length of each side of the triangles (Given, √7 = 2.64) with full explaination..

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Answer 1

Answer:

Given,

          The triangle is isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length.

           Therefore let the length of side of triangle be "x". Here the base of the triangle is different from the other two sides.

Also given,

Perimeter = 42 cm

Base = $1\frac{1}{2} x$ cm

        = $\frac{3}{2} x$

We know that,

Perimeter of isosceles triangle = 2a + b

Here a = x { i.e) the two similar sides}

        b = $\frac{3}{2} x$ { i.e) the different one}

∴ $Perimeter = 2x+ \frac{3}{2} x$

   $42 = \frac{4x+3x}{2}$

   $42 = \frac{7x}{2}$

   $42*2 = 7x$

   $84 = 7x$

   $x = \frac{84}{7}$

   $x = 12$

∴  $\frac{3}{2} x = \frac{3}{2}*12$

        $= 3*6$

        $= 18$

Therefore the length of sides of the triangle are 12 cm, 12 cm, 18 cm.

                 Hope it helps you^_^

Answer 2

Answer: this your ans katrinajoseph446

I hope this ans attachment is helpul

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