Question
Draw a right triangle ABC in which $A B=6 cm$, $B C=8 cm$ and $\angle B=90^{\circ}$. Draw $B D$ perpendicular from $B$ on $A C$ and draw a circle passing through the points $B, C$ and $D$. Construct tangents from $A$ to this circle.
✓
Answer
Follow the given steps to construct the figure. Step 1:Draw a line $A B=6 cm$ segment from point B , draw a ray making an angle of $90^{\circ}$ with AB . Now with $B$ as center and radius 8 cm draw an arc cutting the ray at point C. Join AC, to form $\triangle A B C$. Thus, $\triangle A B C$ is created.
Step 2: Bisect BC and name the midpoint of BC as E . So , the center of circle is E .
Step 3: Join points A and E. Bisect AE and name the midpoint of AE is M .
Step 4: With M as centre and ME as radius, draw a circle.
Step 5: Let it intersect given circle at $B$ and $P$.
Step 6: Join AP and AB.
Here, AB and AP are the required tangents to the circle from A
Step 2: Bisect BC and name the midpoint of BC as E . So , the center of circle is E .
Step 3: Join points A and E. Bisect AE and name the midpoint of AE is M .
Step 4: With M as centre and ME as radius, draw a circle.
Step 5: Let it intersect given circle at $B$ and $P$.
Step 6: Join AP and AB.
Here, AB and AP are the required tangents to the circle from A
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In $\triangle A B C$, right angled at B, if $\tan A = \frac { 1 } { \sqrt { 3 } }$. Find the value of cos A cos C - sin A sin C
→If $\alpha, \beta$ are the zeroes of the $x ^2+7 x +7$, find the value of $\frac{1}{\alpha}+\frac{1}{\beta}-2 \alpha \beta$.
→In which of the following situations, do the lists of numbers involved form an AP Give reasons for your answers:
The amount of money in the account of Varun at the end of every year when Rs.$ 1000 $is deposited at simple interest of $10\%$ per annum.
→The amount of money in the account of Varun at the end of every year when Rs.$ 1000 $is deposited at simple interest of $10\%$ per annum.
Find the sum of first 22 terms of an AP in which d = 7 and 22nd term is 149.
In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing. What is the probability that the music will stop within the first half-minute after starting?
The $19^{\text {th }}$ term of an $A.P$. is equal to three times its sixth term. If its $9^{\text {th }}$ term is 1$9$ , find the $A.P$.?
→Determine the nature of the root of following quadratic equation:
$9a^2b^2x^2 - 24abcdx + 16c^2d^2 = 0$, $\text{a}\neq0,\text{b}\neq0$
→$9a^2b^2x^2 - 24abcdx + 16c^2d^2 = 0$, $\text{a}\neq0,\text{b}\neq0$
Find the area enclosed between two concentric circles of radii 3.5cm and 7cm. A third concentric circle is drawn outside the 7cm circle, such that the area enclosed between it and the 7cm circle is same as that between the two inner circles. Find the radius of the third circle correct to one decimal place.
Prove: $\sin ^6 A+3 \sin ^2 A \cos ^2 A=1-\cos ^6 A$
→Prove the following identities:
$\frac{\cos\theta}{(1-\tan\theta)}+\frac{\sin^2\theta}{(\cos\theta-\sin\theta)}=(\cos\theta+\sin\theta)$
→$\frac{\cos\theta}{(1-\tan\theta)}+\frac{\sin^2\theta}{(\cos\theta-\sin\theta)}=(\cos\theta+\sin\theta)$