What is a triangle with one angle measuring over 90 degrees?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

How do you find the measure of a 30-60-90 triangle?

It turns out that in a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle. The hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

What triangle angle measures 90?

A triangle with one 90° angle is called a right triangle.

Is 90 degrees a complementary angle?

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

How do you find X in a triangle?

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

How do you solve a 30 60 90 triangle with only the hypotenuse?

Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.

How do you find the angle of a 90 Triangle?

Example

1. Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
2. Step 2 SOHCAHTOA tells us we must use Cosine.
3. Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
4. Step 4 Find the angle from your calculator using cos-1 of 0.8333:

How do I find the angle of a triangle?

How To Find The Angle of a Triangle

1. Subtract the two known angles from 180° .
2. Plug the two angles into the formula and use algebra: a + b + c = 180°

Which pair of angles whose sum is 90?

complementary angles
A pair of angles whose sum is 90 degrees are called complementary angles. Each angle is the other angle’s complement.

How many degrees does a right triangle have?

The right triangle: The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees… y + z = 90 degrees

How do you find the angle of a right triangle?

The right triangle: The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees… y + z = 90 degrees. The two sides of the triangle that are by the right angle are called the legs… and the side opposite of the right angle is called the hypotenuse.

How do you find the hypotenuse of a 30 60 90 triangle?

From the illustration above, we can make the following observations about the 30-60-90 triangle: The shorter leg, which is opposite to the 30- degree angle, is labeled as x. The hypotenuse, which is opposite to the 90-degree angle, is twice the shorter leg length (2x).

How do you find the diagonal of a 30 degree triangle?

The diagonal of a right triangle is 8 cm. Find the lengths of the other two sides of the triangle given that one of its angles is 30 degrees. This is must be a 30°-60°-90° triangle. Therefore, we use the ratio of x: x√3:2x. Diagonal = hypotenuse = 8cm. Substitute. The shorter side of the right triangle is 4cm, and the longer side is 4√3 cm.