Posted by **saurav kumar** on Thursday, December 30, 2010 at 9:44am.

The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle.

- geometry -
**Reiny**, Thursday, December 30, 2010 at 10:05am
let each of the equal sides be x

let the base by y

y = (2/3)(2x) = 4x/3

so x + x + (4/3)x = 42

multipy by 3

3x + 3x + 4x = 126

10x = 126

x = 12.6

so the base = (4/3)(12.6) = 16.8

use Pythagoras to find the height, h

h^2 + 8.4^2 = 12.6^

h^2 = 88.2

h √88.2

Area = (1/2)base x height

= (1/2)(16.8)√88.2

= appr. 78.888

- geometry -
**Anonymous**, Sunday, July 1, 2012 at 6:19am
the perimeter of an isosceles triangle is 42cm and its bases is(3/2) times each of the equal sides .find the length of each side of the triangle ;area of the triangle and the height of the triangle.

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