Two secants are drawn to a circle from an external point. The external secant length on the first secant is 12 and the internal segment length is 3x +1. The external secant length on the second secant is 15 and the two internal segment length is 3x-1. Solve for (x) to determine the lengths of the two internal segments of the secants.
Added by Marcos A.
Step 1
Draw a diagram of the situation described in the problem. Label the external point as P, the circle as O, and the two secants as AB and CD. Show more…
Show all steps
Your feedback will help us improve your experience
Salamat Ali and 95 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A secant and a tangent intersect in the exterior of a circle. A chord which is a part of the secant is six more than the length of the tangent segment and the external of the secant is 6cm. Find the length of the tangent segment.
Brent B.
1. Given: circle O, diameter DC, straight segments BD and AE, and right angles as marked. If AB = 6, AC = x, DE = 12, and DC = x + 11, find the radius of the circle. 2. Given: circle O, ST is tangent to the circle at point T. Congruent angles are marked. Find x. 3. Given: circle O, with diameter BC and right angles as indicated. Find x.
Madhur L.
Theorem 18.1.8: Tangent-Secant Segment Theorem If a tangent segment and a secant segment are drawn to the same circle from the same exterior point, the product of the length of the secant and the length of its external segments is equal to the square of the length of the tangent segment. Mid/Final Project. hint for proof. ∠ABC ≅ ∠CDB by _____ ∠ACB ≅ ∠ABD. ┳ACB ≅ ┳ABD. AC/AB = AB/AD, i.e., AC ⋅ AD = AB².
Sutara K.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD