Question

Draw a incircle of a triangle whose angle is 90°and two sides are 4cm and 8cm and write the measure of radius.
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Answer 1

Answer:

rFirstly by using the law of cosines c^2 = 4^2 +4^2–2*4*5*cos(60),you will get the length of 3rd side is sqrt(21). The cosine(60)=1/2. Using the law of sines the 2 other angles will be less that 90 degrees so the central angles are less than 180. Therefore the center of the circle is inside the triangle. The formula to find the radius of the circle r is: r=1/2 * the length of a side / sine of its angle Using the 60 degree angle and side = sqrt(21) r= Sqrt(21)/(2 sin(60) or 2.64575…

The angle of the arc is twice the inscribed angle of 60 or 120. 120 is 1/3 of the total circumference of the circle. Circumference of a circle is 2*pi*r

Length of the arc across from the 60 angle is 2*pi*r*120/360 or

2 *pi* 2.64575*120/360 = 5.54124.

Answer 2

Answer:

Refer to the attachment.

Step-by-step explanation:

hope it helps ✅✅✅

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