In a geometry class, the students were asked to prove the theorem below by contradiction.
theorem: a triangle has at the most one obtuse angle.
heather begins the proof with an assumption. which statement will she most likely use as an assumption?
a. let each angle of a triangle be acute.
b. let two angles of a triangle be obtuse.
c. let two angles of a triangle be right.
d. let only one angle of a triangle be obtuse.

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.