Given a right triangle #triangle ABC# with #C=90^circ#, if b=12, c=13, how do you find a? Trigonometry Right Triangles Solving Right Triangles 1 Answer Douglas K. Aug 25, 2017 Given that #Delta"ABC"# is a right triangle, one can use the Pythagorean Theorem find the length of side a: #c^2 = a^2 + b^2# #a = sqrt(c^2-b^2)# #a = sqrt(13^2 - 12^2)# #a=sqrt(25)# #a = 5# Answer link Related questions How do you find leg length, BC, to the nearest tenth if in a right triangle ABC, the hypotenuse... How do you solve right triangles using a graphing calculator? What are inverse trigonometric functions and when do you use it? How do you find the missing angles when the sides of a right triangle are given? What is Solving Right Triangles? How do you find all the missing angles, if you know one of the acute angles of a right triangle? How do you know what trigonometric function to use to solve right triangles? What will be the length of the shadow of the tower, correct to the nearest meter, on a day that... What is the angle θ of the ramp if monster truck drives off a ramp in order to jump on to a row... How do I find the sides of a right triangle using only the trig functions sin cos and tan? See all questions in Solving Right Triangles Impact of this question 4501 views around the world You can reuse this answer Creative Commons License