D is a point on side B C of A B C such that, A D C= B A C. Show t… - Vidyadip

Question

$D$ is a point on side $B C$ of $\triangle A B C$ such that, $\angle A D C=\angle B A C$. Show that $A C^2=B C \times D C$.

✓

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from P-2 Similarity→P-2 Similarity — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Construct an equilateral ∆ABC with side 5 cm. ∆ABC ~ ∆LMN, ratio the corresponding sides of triangle is 6 : 7, then construct ΔLMN and ΔABC

A girl of heigh 90cm is walking away from the base of a lamp-post at a speed of 1.2m/sec. If the lamp is 3.6m above the ground, find the length of her shadow after 4 seconds.

Find the sum of,
The first 40 positive integers divisible by,

3
5
6

The following distribution gives the daily income of 50 workers of a factory:

Daily income (in ₹)	100-120	120-140	140-160	160-180	180-200
Number of workers	12	14	8	6	10

Convert the above distribution to a less than type cumulative frequency distribution and draw its ogive.

Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and (1, 2) meet.

The difference between the roots of the equation $x^2-13 x+\mathrm{k}=0$ is 7 find $\mathrm{k}$.

Show that the following sets of points are collinear.
(2, 5), (4, 6) and (8, 8).

If $\cot\theta=\frac{1}{\sqrt{3}},$ find the value of $\frac{1+\cos^2\theta}{2-\sin^2\theta}$.

Shabana's age 10 years hence, will be twice juhi's present age. 6 years back shabana's age was $\frac{5}{3}$ times Juhi's at that time find their present ages.

Solve the following systems of equations has unique solution and solve it:
$\frac{\text{x}}{3}+\frac{\text{y}}2{}=3,\ \text{x}-\text{2y}=2$