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How do you find height knowing area and perimeter of right angle triangle?
Wiki User
∙ 10y ago
Suppose the sides are a, b and c with c being the hypotenuse.
Then 1/2*a*b is the area which is known. Therefore b = 2*area/a
Also, by Pythagoras, c = sqrt(a2 + b2) so that, using the previous result, c can be expressed in terms of a.
So, you now have a + b + c = perimeter where both b and c can be expressed in terms of a.
This gives a quadratic equation that can be solved for a. The two solutions are a and b, since flipping the triangle will swap the base and height.
Wiki User
∙ 10y ago
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