Let segments a p and b p be tangent segments. what is the length of segment a p if b p equals 12 cm?
1 answer:
Answer:
Measure of line segment ap = 12 cm
Step-by-step explanation:
Given:
Two line segments (tangents) from a common point (p).
Considering p as a common point.
Measure of length bp = 12 cm
We have to find the measure of length ap.
According to the theorem.
Two-Tangent Theorem:
When two segments are drawn tangent to a circle from the same point outside the circle, the segments are equal in length.
So,
We can say that both the line segments from point p are equal.
Measure of ap = cm
A diagram is also attached with this.
Measure of segment ap = 12 cm
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Answer:
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Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
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Step-by-step explanation:
Solution is attached.
