# Triangles

#### Samantha Coots

##### New member
a right triangle ABC with ∠B a right angle, a line segment B'C' connects side AB with the hypotenuse so that ∠AB'C' is a right angle as shown. Use facts about similar triangles to show why (C') =(C).

#### pka

##### Elite Member
a right triangle ABC with ∠B a right angle, a line segment B'C' connects side AB with the hypotenuse so that ∠AB'C' is a right angle as shown. Use facts about similar triangles to show why (C') =(C).
I assume that by (C')=(C) you mean that angles $$\displaystyle \angle ACB\cong\angle AC'B'$$.
Because $$\displaystyle \overline{BC}\bot\overline{AB}~\&~\overline{B'C'}\bot\overline{AB}$$ then we have corresponding angles of parallel lines.