Question

The base of an isosceles triangle is 4/3 cm . the perimeter of the triangle is 4 2/15 cm.​

Answer 1

`\sf 1(2)/(5) \ cm`

Explanation:

Isosceles triangle:

If two sides of the triangle are equal, then the triangle is called isosceles triangle.

Let the two equal sides = x cm

Perimeter of the triangle =
`\sf 4(2)/(15)` cm

`\sf x + x + (4)/(3)=4(2)/(15)\\\\`

`\sf 2x +(4)/(3)=(62)/(15)`

`\sf 2x = (62)/(15)-(4)/(3) \ [\text{\bf LCM of 15 , 3 = 15}]\\\\2x = (62)/(15)-(4*5)/(3*5)\\\\2x = (62)/(15)-(20)/(15)\\\\2x = (42)/(15) \ [\text{\bf Divide both sides by 2}]\\\\ x = (42)/(15*2)\\\\ x = (7)/(5)\\\\ x = 1(2)/(5)`

`\sf \boxed{\text{Equal sides of isosceles triangle = $1(2)/(5)$ cm}}`