If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangl
e in terms of x?
A. x units
B. x√2 units
C. x√3 units
D. 2x units
A. x units
B. x√2 units
C. x√3 units
D. 2x units
2 answers:
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Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3