Home
Class 10
MATHS
D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that `angleADC` = `angleBAC` . Show that `CA^2` = CB. CD.

Answer

Step by step text solution for D is a point on the side BC of a triangle ABC such that angleADC = angleBAC . Show that CA^2 = CB. CD. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

M is a point on side BC of a triangle ABC such that AM is that bisector of angleBAC . Is it true to say that perimeter of the triangle is greater than 2AM? Give reasond for your answer.

In Fig. D is a point on side BC of triangleABC such that (BD)/(CD) = (AB)/(AC) . Prove that AD is the bisector of angleBAC .

In fig., D is a point on side BC of triangleABC such that (BD)/(DC)=(AB)/(AC) . Prove that, AD is bisector of angleBAC . .

D is any point on the base BC, produced of an isosceles triangle ABC, prove that AD>AB.

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE^2+BD^2=AB^2+DE^2 .

In fig., O is a point in the interior of a triangle ABC, OD bot BC, OE bot AC and OF bot AB. Show that:- AF^2+BD^2+CE^2=AE^2+CD^2+BF^2 . .

In the adjoining figure,D is a point on the side BC of triangle (ABC) . AD is joined .Name all the triangles that you can observe in the figure.How many are they?.

Triangle ABC and DBC are on the same base BC with A,D on opposite sides of line BC, such that ar(triangleABC) = ar(triangleDBC) . Prove that BC bisects AD.

D,E and F are the middle points of the sides of the triangle ABC, then