Question

Answer the question please i do mot understand how to eliminate h

Answer 1

`\sf\\Using\ Pythagoras\ theorem\\In\ \triangle AMC,\\AC^2=CM^2+AM^2\\or,\ b^2=h^2+x^2\\or,\ h^2=b^2-x^2......(1)`

`\sf\\In\ \triangle BMC,\\BC^2=BM^2+CM^2\\or,\ a^2=(c-x)^2+h^2\\or,\ h^2=a^2-(c-x)^2\\or,\ h^2=a^2-(c^2-2cx+x^2)\\or,\ h^2=a^2-c^2+2cx-x^2......(2)`

`\sf\\\textsf{Equating equations(1) and (2),}\\b^2-x^2=a^2-c^2+2cx-x^2\\or,\ b^2-x^2=a^2-c^2+2cx-x^2\\or,\ b^2=a^2-c^2+2cx\\\therefore\ c^2-2cx=a^2-b^2`

Hope this helps!