two trees of height a and b are p meter apart. prove that heght of point of intersection of lines joining the top of each tree to the foot of opposite side is given by ab/(a+b)

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Two trees of height $$ a$$ and $$ b $$ are $$ p $$ meters apart.
(i) Prove that the height of the point of intersection of the line joining the top of each tree to the foot of the opposite tree is given by $$ \dfrac {ab}{a+b} $$
(ii) Which mathematical concept is used in this problem?
(iii) What is its value?

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