Trigono Question

TanC=AB/BC

Tan45=100/BC

1=100/BC

BC=100

$\color{#D61F06}{tan C = tan 45 = \dfrac{AB}{BC} \\ \Rightarrow 1 = \dfrac{100}{BC} \\ \therefore \boxed{BC = 100}}$

Since C= 45, and ABC being an right angle triangle, angle A = 45. This makes ABC an isosceles triangle.

Now, the length of a side of a triangle is proportional to angle opposite the side, hence B/A = AB/BC => 45/45 = 100/BC.

Hence, BC = 100.

This becomes an isosceles triangle. The sides AB and BC are equal.

Since ABC is right angled triangle and < C =45 degree ,so it is issocellous triangle When AB 100 so with is propert BC is also 100 Ans. K.K.GARG,India