Geometry Answers

If l,m,n are the distances of vertices of a triangle from the corresponding points of contact with the incircle, then prove that lmn/(l+m+n)=r^2
(r is inradius)

If a line segment joins the midpoints of two of the sides of a triangle then it is parallel to the third side? This has to do with isosceles triangles and coordinate proofs

A square and a rectangle have d same perimeter of 80 cm. if difference between their area is 100 Cm square, find the sides of rectangle

A regular hexagon has sides of 5 feet. What is the area of the hexagon?

The point A(-6, -5) is translated using T: (x,y) → (x + 4, y + 6).

What is the distance from A to A'?

let BD ∩ CE ( call it A ) such that B*A*D and C*A*E ...
if M is the midpoint of DC ,
< ACM congruent <ADM , <BMC congruent <EMD , then AE = AB

triangle KLM has vertices K(1, –4), L(–3, 3), and M(–5, –1). is translated so that K’ is located at point (–3, 2). State the coordinates of L’ and M’, where triangle K'L'M' is the translation of triangle KLM.

Use an algebraic rule to describe a translation right 4 units and down 2 units. Which one of these is the answer?

A. (x+2,y-4)
B. (x+4,y-2)
C. (x+2,y+4)
D. (x-4,y-2)

You're making a card house, setting each pair of cards the way that they make angle of 60 degrees between them. If you know the size of a playing cards 90mm by 60mm, what is the separation between the floors in your card house?''.

When you stretch your arms horizontally, the tip of your fingers are 160cm away from each other. If they are 170cm from the tip of your toes, and 85cm from the top of your head, how tall are you?Give the answer to the nearest tenth.