Let \(P\) be an interior point of a triangle \(ABC\) whose side lengths are \(26,65,78\).The line through \(P\) parallel to \(BC\) meets \(AB\) in \(K\) and \(AC\) in \(L\).The line through \(P\) parallel to \(CA\) meets \(BC\) in \(M\) and \(BA\) in \(M\).The line through \(P\) parallel to \(AB\) meets \(CA\) in \(S\) and \(CB\) in \(T\).If \(KL\), \(MN\),\(ST\) are of equal lengths,find this common length.

Note by Vilakshan Gupta
10 months ago

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  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

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