+0

I missed a week in my geometry class so I need some help catching up

0
40
7
+63

1 (a). Find the inradius of triangle ABC.

1 (b). Find the circumradius of triangle ABC.

2. In triangle PQR, M is the midpoint of $$\overline{PQ}$$. Let X be the point on $$\overline{QR}$$ such that $$\overline{PX}$$ bisects $$\angle QPR$$ and let the perpendicular bisector of $$\overline{PQ}$$. intersect $$\overline{PX}$$ at Y. If PQ = 36, PR = 22, and MY = 8, then find the area of triangle PYR.

3 (a). In triangle ABC, let the angle bisectors be $$\overline{BY}$$ and $$\overline{CZ}$$. Given AB = 12, AY = 10, and CY = 8, find BC.

3 (b). In triangle ABC, let the angle bisectors be $$\overline{BY}$$ and $$\overline{CZ}$$. Given AB = 12, AY = 10, and CY = 8, find BZ.

Jul 11, 2023

5+0 Answers

#1
0

1. (a)  Let s=(29+29+42)/2​=40. Then by Heron's formula, the area of triangle ABC is

[K = \sqrt{40(40 - 29)(40 - 29)(40 - 42)} = 420.]

The inradius is \frac{K}{s} = \frac{420}{40} = \frac{21}{2}.

Jul 11, 2023
#2
+752
0

jeeze, fella, (29+29+42)/2​ does NOT = 40  it's 50

didnt you think something was wrong when you did 40-42

Bosco  Jul 11, 2023
#3
0

Do not post A O P S problems.

Jul 11, 2023
#4
0

youngwolf is just trying to cheat on homework.

Jul 11, 2023
#5
0

We are not here to do all your homework for you, cheater.

Jul 11, 2023