Find the missing side of the right triangle. Round your answer to the nearest tenth. Right triangle. 38 units and 9 units.

Answer 1

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states:

$$a^2+b^2=c^2$$

where $c$ is the hypotenuse (the longest side), and $a$ and $b$ are the other two sides.

You provided the lengths of two sides: 38 units and 9 units. We need to determine which side represents the hypotenuse. Let's assume the longest side (38 units) is the hypotenuse.

If that's the case, we can denote the sides as follows:

• $c=38$ (hypotenuse)
• $a=9$
• $b=?$ (the missing side)

Now, we can plug these values into the Pythagorean theorem:

$$9^2+b^2={38}^2$$

Calculating $9^2$ and ${38}^2$:

$$81+b^2=1444$$

Next, subtract $81$ from both sides:

$$b^2=1444-81$$ $$b^2=1363$$

Now, take the square root to find $b$:

$$b=\sqrt{1363}\approx 36.9$$

Rounding to the nearest tenth, the missing side of the triangle is approximately 36.9 units.