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Solve the equation below​

Solve the equation below​-example-1

2 Answers

4 votes

Answer:

x = 4cm

Explanation:

If the triangle is equilateral, then we already know one of the sides has a length of 3+5 (8).

This, therefore, means the 2 other sides' lengths are also equal to eight, which means all we need to do to find x is subtract 4 from 8, which gives us 4.

Hope this helps

User DJanssens
by
8.0k points
3 votes

Answer:


x=(20)/(3)\; \sf cm

Explanation:

Side-Splitter Theorem

If a line is parallel to a side of a triangle and intersects the other two sides, then this line divides those two sides proportionally.

Applying the side-splitter theorem:


\implies (3)/(5)=(4)/(x)

Cross multiply:


\implies 3 \cdot x=4 \cdot 5


\implies 3x=20

Divide both sides by 3:


\implies (3x)/(3)=(20)/(3)


\implies x=(20)/(3)

Therefore, the value of x is ²⁰/₃ cm

User Eric Frick
by
7.5k points

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