A polygon has the following coordinates: A(4,2), B(-3,2), C(-3,5), D(4,5). Find the length of DA.
A.
4 units
B.
C.
2 units
3 units
D.
5 units
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Option C: 3 units is the length of DA

Explanation:

The coordinates of a polygon ABCD are

We need to find the length of DA

The length of DA can be determined using the distance formula,

Let us substitute the coordinates and in the distance formula, we get,

Subtracting the terms within the bracket, we have,

Squaring the terms, we get,

Adding the terms, we have,

Thus, the length of DA is 3 units.

Hence, Option C is the correct answer.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.