# SOLUTION: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. Find the height of the triangle.

Algebra ->  -> SOLUTION: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. Find the height of the triangle.      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Question 549183: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. Find the height of the triangle.Answer by mananth(13127)   (Show Source): You can put this solution on YOUR website! The height bisects the base Base = 10 so half the base = 5 cm hypotenuse = 20 The congruent side the height and half the base will form a right triangle. The congruent side is the hypotenuse. height is the other leg Pythagoras theorem (Hyp)^2= (leg1)^2+ Leg2^2 Hypotenuse = 20 ft leg1= 5 ft Leg2= ? leg2^2=hyp^2-leg1^2 Leg2^2= 20 ^2 - 5 ^2 Leg2^2= 400 - 25 Leg2^2= 375 Leg2= height= 19.36 ft m.ananth@hotmail.ca