3 years ago

Prove this theorem indirectly.

1 answer:

vladimir2022 [97]3 years ago

3 0

Triangles have three sides. Of which, the angles inside add up to 180°. Now if two angles were 90° there would be no third angle. Meaning this object would just be an open shape.

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andriy [413]

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

$\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12$

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