Aquadrilateral has vertices a(3,5), b(2,0), c(7,0) and d(8,5). which statement about the quadrilateral is true?

*abcd is a parallelogram with non-perpendicular adjacent sides
*abcd is a trapezoid with only one pair of parallel sides
*abcd is a rectangle with non-congruent adjacent sides
*abcd is a rhombus with non-perpendicular adjacent sides

ABCD is a rhombus with non-perpendicular adjacent sides

Step-by-step explanation:

A rhombus is a quadrilateral with four sides equal in length and non-perpendicular adjacent sides.

In the given case, when we plot the quadrilateral having vertices A(3,5), B(2,0), C(7,0) and D(8,5) then the length of each side comes out to be 5 i.e.

           AB=BC=CD=AD=5

hence given quadrilateral ABCD is a rhombus with non-perpendicular adjacent sides.

!

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).