Advertisements
Advertisements
Question
Construct a triangle PQR in which, PQ = QR = RP = 5.7 cm. Draw the incircle of the triangle and measure its radius.
Advertisements
Solution
Steps of Construction:

(i) Draw an equilateral ∆ RPQ in which PQ = QR = RP = 5.7 cm each.
(ii) From P and Q cut the bisector of ∠P and ∠Q, which intersect each other at point O.
(iii) With P as a center draw an in a circle that touches all the three sides of ∆RPQ.
APPEARS IN
RELATED QUESTIONS
Two tangent segments PA and PB are drawn to a circle with center O such that ∠APB = 120°. Prove that OP = 2AP
ture or false v
The degree measure of a semi-circle is 180°.
Find the diameter of the circle if the length of a chord is 3.2 cm and itd distance from the centre is 1.2 cm.

In the above figure, seg AB is a diameter of a circle with centre P. C is any point on the circle. seg CE ⊥ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof.
Draw a circle of radius 6 cm. In the circle, draw a chord AB = 6 cm.
(i) If O is the center of the circle, join OA and OB.
(ii) Assign a special name to ∆AOB
(iii) Write the measure of angle AOB.
Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.
A line segment joining any point on the circle to its center is called the _____________ of the circle
Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm, and 7 cm. Find the radii of the circles.
In the following figure, O is the centre of the circle. Shade sectors OAC and OPB.

What is the fixed point inside the circle called?
