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  • In a right angled ?ABC, AC is hypotenuse and other two sides are of length 12m and 9m . X is a point outside the triangle such that XA=20m and XC=25 M. find the measure of angle XAC.

In a right angled ?ABC, AC is hypotenuse and other two sides are of length 12m and 9m . X is a point outside the triangle such that XA=20m and XC=25 M. find the measure of angle XAC.

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In; riangle ABC\*apply;pythagorus;theorem\* AC^2=AB^2+Bc^2\*AC^2=12^2+9^2=144+81=225\* AC=15;m\* Now,;In; riangle AXC\* we;obsereved;that;it;follows;pythagorus;theorem\* CX^2=AX^2+AC^2\*25^2=20^2+15^2\*625=400+225\* herefore angle XAC = 90^circ\* Hence,;it;is;a;right;angle;triangle;and;angle XAC;is;90^circ\* because; it;opposite;to;the;hypotaneous;(or;bigger;side)

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Deependra Verma

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