Step-by-step explanation:
the scaling ratio is 12/20 = 3/5.
this always applies only to one-dimensional distances, lengths.
the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.
p_old = a + b + c
p_new = ra + rb + rc = r(a + b + c) = r×p_old
so, the ratio for the perimeter is also 3/5.
for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.
a_old = a × b
a_new = ra × rb = r² × a×b = r² × a_old
so, the ratio for the area is
(3/5)² = 9/25
Construct two angle bisectors of the triangle
Answer:
Option (D) is correct
<u>Step-by-step explanation:</u>
We have to contruct two angle bisectors of the triangle.
various steps to inscribe the circle in a triangle are
- First draw a triangle
- Draw angle bisector of one angle
- Draw angle bisector of another angle
- Extent these angle bisectors, where they meet that point will be called the incenter
- From incenter draw prependicular to any side of the triangle
- The length from the point where the prependicular touches the side of triangle to the point of incenter will be radius.
- Use this radius and draw the incircle.
Subtract 5 from each side. Use MAN strategy to determine that x = 5 and x = -1.
