Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

On a circle of radius (r) ,3 points are chosen so that the circle is divided into 3 arcs in the ratio of 3:4:5. Tangents are drawn at the point of division. Find the area of triangle formed by the tangents.

On a circle of radius (r) ,3 points are chosen so that the circle is divided into 3 arcs in the ratio of 3:4:5. Tangents are drawn at the point of division. Find the area of triangle formed by the tangents.

Grade:9

1 Answers

Yuvika
31 Points
3 years ago
Assuming O is the center of the circle.Arc(ACB)=3*arc(AB). Now as arc(ACB)+arc(AB)=3*arc(AB)+arc(AB)=circumference then arc(AB)=circumference/4 --> angle AOB=360/4=90 degrees. So, triangle AOB is a right isosceles triangle with OA=OB=r=3 --> hypotenuse AB=32+32−−−−−−√=32√AB=32+32=32 (or you can find the length of AB by applying the property of 45-45-90 right triangle where the sides are in the ratio 1:1:2√1:1:2).

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free