Maths-
General
Easy
Question
Find the value of x. Identify the theorem used to find the answer.
Hint:
- Perpendicular bisector theorem
- According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.
The correct answer is: Hence, x = 2.
Answer:
- Step by step explanation:
- Given:
AB = 2x.
AC = 4x – 4
AD is perpendicular bisector at BC.
- Step 1:
- In
AD is perpendicular bisector.
A is point on AD
A is equidistant from B and C.
So,
AB = AC
2x = 4x – 4
4 = 4x – 2x
4 = 2x
x = 2
- Final Answer:
Hence, x = 2.
Perpendicular bisector theorem is used.
- Given:
AD is perpendicular bisector at BC.
Perpendicular bisector theorem is used.
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