Use the diagram above to answer these questions, in which H is the circumcenter of triangle BCD, and BC = 16 and HD = 15

Use the diagram above to answer these questions, in which H is the circumcenter of triangle BCD, an

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Ответ:

Tyrant4life

26.08.2020

Mathematics

PM = 14.4

Step-by-step explanation:

In triangle MLK, PN || LK

Therefore, by Basic Proportionality Theorem:

$\frac {PM}{PL} =\frac{15}{10}$

$\frac {PL}{PM} =\frac{10}{15}$

(By invertendo)

$\frac {PL+ PM}{PM} =\frac{10+15}{15}$

(By componendo)

$\frac {LM}{PM} =\frac{25}{15}$

$\frac {24}{PM} =\frac{5}{3}$

$PM= \frac {24\times 3}{5}$

$PM= \frac {72}{5}$

PM= 14.4

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