Prove that any median in a triangle is less than the half of the triangle's perimeter.

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?