What is the length of Line BC?

The length of Line BC is 10

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What are similar triangles?

Triangles having the same corresponding angles measures and proportional side lengths are called similar triangles.

How to find the length of the line BC?

Considering Δ AXY    and    ΔABC

                      ∠AXY       =      ∠ACB  (corresponding angles are equal)

                       ∠AYX       =      ∠ABC   (corresponding angles are equal)

                       ∠A is common in both the triangles

∴ We can say the triangles are similar .

Now, let H be the height of ΔABC and h be the height of ΔAYX

So, we can say,  

• Now, we know that area of the triangle can be found with the help of the formula (1/2)x(base)x(height)

So,  

⇒    

Now, substituting XY = 5 and    in the above equation, we get

⇒ BC² = 100

⇒ BC = ± 10

Since BC is the length , so it cannot be negative.

So, the negative value is rejected.

∴  BC = 10

Option B is correct.

Find more about "Similar Triangles" here: brainly.com/question/2644832

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