isosceles triangle height

Sep 08
2007

Height Now System

isosceles triangle height
The height of an isosceles triangle is 12cm.The base of the triangle is equal 18cm.length side?

Plz. :-)

Fall a perpendicular from apex to base. This makes two triangles congruent right angled, and divides the base. Consider one of the triangles on the sides that angle rectum is 9cm and 12cm long, so that the use of Pythagoras' Theorem, the hypotenuse cm long x: x ^ 2 = 9 ^ 2 + 12 ^ 2, so x ^ 2 = 81 + 144 by so x ^ 2 = 225, so x = 15 cm. Thus, the length of the equal sides is 15 cm. Hope this helps, Twiggy.

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