# How do you find adjacent if you have opposite and hypotenuse?

**To find out which, first we give names to the sides:**

**Adjacent**is**adjacent**(next to) to the angle,**Opposite**is**opposite**the angle,- and the longest side is the
**Hypotenuse**.

Similarly, you may ask, how do you find the opposite adjacent side and hypotenuse?

In a right triangle, the **hypotenuse** is the longest **side**, an "**opposite**" **side** is the one across from a given angle, and an "**adjacent**" **side** is next to a given angle. We use special words to describe the **sides** of right triangles. The **hypotenuse** of a right triangle is always the **side opposite** the right angle.

Additionally, how do you find the opposite side of a triangle? **In any right angled triangle, for any angle:**

- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Moreover, how do you find an angle with adjacent and opposite?

**Example**

- Step 1 The two sides we know are Opposite (300) and Adjacent (400).
- Step 2 SOHCAHTOA tells us we must use Tangent.
- Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
- Step 4 Find the angle from your calculator using tan
^{-}^{1}

How do you find the opposite side of a triangle using Pythagorean?

In this right **triangle**, you are **given** the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always **opposite** the right angle and it is always the longest **side** of the **triangle**. To **find** the length of leg a, substitute the known values into the **Pythagorean** Theorem. Solve for a^{2}.