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1 answer:
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see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
Answer:
(5.9 , 1)
Step-by-step explanation:
(1 , 0) (1 , 2) length = 2
Third vertex ( x , y)
(x - 1)² + (y - 0)² = 5²
(x - 1)² + (y - 2)² = 5² isosceles triangle
(y - 2)² - y² = 0
-4y + 4 = 0
y = <u>1</u>
(x - 1)² + (1 - 0)² = 5²
(x - 1)² = 24
x - 1 = ± 2√6
x = 1 + 2√6 or x = 1 - 2√6
X in the 1st quadrant x = 1+2√6 = <u>5.9</u>
