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

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(16946) (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

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