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2 years ago

What is the value of k? ____ units

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

Step-by-step explanation:

Corresponding sides are proportional in these similar triangles.

short side/long side = k/4 = 4/8

k = 4(4/8) . . . . multiply by 4

k = 2

_____

<em>Additional comment</em>

The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...

l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN

l = 2√5

m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN

m = 4√5

The similarity statements are ...

ΔLMN ~ ΔLNO ~ ΔNMO

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