175k views
5 votes
What is the value of k? ____ units

What is the value of k? ____ units-example-1
User TehK
by
8.3k points

1 Answer

11 votes

Answer:

2

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

_____

Additional comment

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

User Nxu
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories