An isosceles trapezoid abcd has bases ad = 17cm, bc = 5cm, and leg ab = 10 cm. a line is drawn through vertex b so that it bisects diagonal ac and intersect ad at point m. find the area of δbdm. what is the area of abcd?

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.