Find the exact length of the third side.
51

24

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

2025 + = 2601

Subtract 2025 from both sides:

2025 + = 2601

-2025       -2025

_____________

= 576

Square root:

b = 24

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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