.

**hypotenuse**.

Note, the shortest leg will always be. 9ft=2x.

Thus, the longer leg has length √3(12√3) = 36.

9ft=2x.

The basic **30-60-90** **triangle** ratio is: Side opposite the **30**° angle: x. We are given a line segment to start, which will become **the hypotenuse of a 30**-**60**-**90** right **triangle**. Ratio = x: x√3:2x.

x 2 = 12. Divide both sides by 2. .

The area is A = x²√3/2. The other two angles measure precisely **30** and **60** degrees, which are in the ratio of 1:2:3.

This special type of right **triangle** is similar to the.

. For example, **the**.

So, if **the hypotenuse** has length 24√3, then the shorter leg has length (1/2)(24√3) = 12√3. This side can be found using **the hypotenuse** formula, another term for the Pythagorean theorem when it's solving for **the hypotenuse**.

73.

**Hypotenuse** = 2x.

In this special case, the length of **the**** hypotenuse** is always equal to two times the length of the shortest leg a of the **triangle**. 9. Let c be a **hypotenuse** of a **triangle** and a and b two legs.

The formula to **find the hypotenuse** is given by the square root of the sum of squares of base and perpendicular of a right-angled **triangle**. If you know the **hypotenuse** of a 45-45-**90** **triangle** the other sides are root 2 times smaller. yahoo. Because the interior angles of a **triangle** always add. In a **30**°-**60**°-**90**° **triangle**, **the hypotenuse** (c) is twice the length of the shorter leg (a): c = 2a ⇒ a = c ÷ 2 = 18 ÷ 2 = 9. This page shows to construct (draw) a **30** **60** **90** degree **triangle**** with compass and straightedge or ruler**.

Remember, **the hypotenuse** is opposite the **90**-degree side.

With 45-45-**90** and **30**-**60**-**90** triangles you can figure out all the sides of the **triangle** by using only one side. Thus, it will be 8 * 2 = 16.

3 cm.

Lastly, the perimeter is P = x (3 + √3).

The special right triangles formula of a 45° 45° **90**° **triangle** is: Leg : Leg: **Hypotenuse** = x: x: x√2.

Note, the shortest leg will always be.

The side opposite the **30**-degree angle is half the length of **the hypotenuse**, and the side opposite the **60**-degree angle is the length of the short leg times the square root of three.

triangle, the area of the square whose side isthe hypotenuse(the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that.