On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at (5, negative 2). In the diagram, AB = 10 and AC = 2 StartRoot 10 EndRoot. What is the perimeter of △ABC?

10 units
10 + 2 StartRoot 10 EndRoot units
20 units
20 + 2 StartRoot 10 EndRoot units

correct answer:

b.(19,-2)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

the answer is b.6

step-by-step explanation: