In triangle abc ab=2cm ac=6cm and bc=2root7cm
a) use the cosine rule to show
the circle with centre a and radius 2cm intersects ac at point d
b)calculate the length in cm of the arc bd

c) calculate the area in cm^2 of the shaded region bcd

I drew a diagram and labeled some points. is the centre of the circle and D, E and F are points where the sides of the triangle are tangent to the circle. Thus angles CAB, PDB and BEP are right angles. Suppose the radius of the circle is r and the side length of CA is s. By the symmetry of the diagram E is the midpoint of BC. Notice also that the length of AD is r.

I used Pythagoras Theorem 3 times. Once for the triangle ABC to find the length of BC and hence BE in terms of s. A second for triangle BEP to find the length of BP, and a third time for triangle BPD to write an equation involving s and r. Solve for r.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )