Answer:

Step-by-step explanation:
According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.
Therefore, based on this theorem, we would have the following:

Solve for x

Multiply both sides by 21



Answer:
The answer to your question is x = 21
Step-by-step explanation:
Equation

- Multiply both sides by 7

- Simplify
2x = 42
- Divide both sides by 2

- Simplify
x = 21
Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place