Question

Solve the equation below​

Answer 1

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

Answer 2

`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