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valina [46]
3 years ago
14

What is the value of X?​

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

ΔABC is 45 45 90 right triangle

The ratio of leg: hypo = a : a√2

Given: hypo  AC = 6√2; so AB = BC = 6

ΔBCD is 30 60 90 right triangle

The ratio of short leg : long leg  : hypo = x : x√3 : 2x

Hypo.  BC = 6 = 2 (3)

So short leg BD = x = 3

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