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LiRa [457]
3 years ago
10

BAC ~ DECx = ___ units​

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Given:

\Delta BAC\sim \Delta DEC

To find:

The value of x.

Solution:

We have,

\Delta BAC\sim \Delta DEC

The corresponding parts of similar triangles are proportional.

\dfrac{AB}{ED}=\dfrac{AC}{EC}

On substituting the values, we get

\dfrac{24}{56}=\dfrac{2x}{3x+5}

\dfrac{3}{7}=\dfrac{2x}{3x+5}

3(3x+5)=2x(7)

9x+15=14x

Subtract 9x from both sides.

15=14x-9x

15=5x

\dfrac{15}{5}=x

3=x

Therefore, the value of x is 3 units.

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