36.7k views
23 votes
Х

A
8
D 2
B
Find the value of x.
X =
If necessary, type your answer as a simplified v OR round decimal answers to the nearest
TENTH!!

Х A 8 D 2 B Find the value of x. X = If necessary, type your answer as a simplified-example-1
User Kanad
by
5.7k points

1 Answer

14 votes

Answer:

x = 2√5 or 4.5

Explanation:

Recall the leg rule which is given as:

Hypotenuse/leg = leg/part

Hypotenuse = 8 + 2 = 10

Leg = x

Part = 2

Plug in the values

10/x = x/2

Cross multiply

x*x = 10*2

x² = 20

Take the square root of both sides

√x² = √20

x = √(4*5)

x = 2√5 or 4.5

User Kapsi
by
5.3k points
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