Answer:
x = 3√2 units.
Step-by-step explanation:
Let Δ ABC is a right triangle with ∠ ABC = 90°.
We draw an altitude from B on AC at point D and AD = CD = 3 units.
We have to find x.
Now, BD is the perpendicular bisector of side AC and hence, Δ ABC is a right isosceles triangle.
So, AB = BC = x
And AC = 3 + 3 = 6 units.
So, applying Pythagoras Theorem, AB² + BC² = AC²
⇒ x² + x² = 6²
⇒ 2x² = 36
⇒ x² = 18
⇒ x = 3√2 units. (Answer)
66.67%. hope i helped man
Answer:
18
Step-by-step explanation:
First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2
AB=BC
AB = 4x - 2 BC = 3x + 3
4x - 2 = 3x + 3
Solve for x Add 2 to each side
4x - 2 = 3x + 3
4x - 2 + 2 = 3x + 3 + 2
4x = 3x + 5 Subtract 3x from each side.
4x - 3x = 3x- 3x + 5
4x - 3x = 5
x = 5
Now plug back in to the original equations
AB = 4x - 2 BC = 3x + 3
AB = 4 (5) - 2 BC = 3(5) + 3
AB = 20 - 2 BC = 15 + 3
AB = 18 BC = 18
So AB is 18
