In the figure shown, XY is parallel to BC. What is the length of AX?
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Answered by
20
using Triangle parallel theorem
=> AX/XB = AY/YC
=> AX/8 = 7/10
=> AX = 56/10
=> AX = 5.6 unit
Hope it may help you.
Answered by
1
Given:
Two triangles ABC and AXY are given whose side XY is parallel to BC.
To Find:
What is the length of AX?
Step-by-step explanation:
- In the given triangle AXY and ABC, side XY of triangle AXY and side BC of triangle ABC are parallel to each other.
- As angle A is common in both the triangle ABC and AXY.
- So, triangle ABC and AXY are similar.
ΔAXY ≅ ΔABC.
- For two similar triangles, the ratio of any two corresponding sides is always the same.
- As both the triangle ABC and AXY are equal, the ratio of any two corresponding sides is always equal.
So, the length of the side AX is 5.6 units.
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