Problem preview

G-C.4 Warmup M2-032-A07-V04

Construct a tangent line from an external point to a circle.

Find a tangent-triangle measure with the Pythagorean theorem

Problem

Find the missing measure in the radius-tangent-center right triangle: radius \(r=10\); center-to-external-point distance \(d=26\); tangent length \(\ell~\) unknown.

Right triangle OTP formed by radius OT and tangent TP, with r=10, OP=d=26, and tangent length ℓ unknown.

Answer choices

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A

ℓ = −24

B

ℓ = 16

C

ℓ = 24

D

ℓ = 36

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Curriculum context

Course: Math II
Standard: G-C.4
Category: Geometry
Domain: Circles
Objective: Construct a tangent line from an external point to a circle.
Problem type: Find a tangent-triangle measure with the Pythagorean theorem