What type of triangle is a 30-60-90 right triangle?

In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg. To see why this is so, note that by the Converse of the Pythagorean Theorem, these values make the triangle a right triangle.

What is an example of a 30-60-90 triangle?

Which triangle is a 30-60-90 triangle quizlet?

What is right triangle is a triangle with angle measures of 30°, 60°, and 90°. In a 30°-60°-90° right triangle, the measure of the hypotenuse is twice the measure of the short leg, and the measure of the longer leg is the measure of the short leg times √3 . You just studied 2 terms!

Are 30-60-90 triangles acute?

Special Triangles

They can be classified by side length (isosceles, scalene, or equilateral) or by angle measurement (acute, obtuse, or right). … This specific kind is a 30-60-90 triangle, which is just a right triangle where the two acute angles are 30 and 60 degrees.

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

What type of triangle is a 45 45 90 right triangle?

isosceles right triangle
A 45 45 90 triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees. Many times, we can use the Pythagorean theorem to find the missing legs or hypotenuse of 45 45 90 triangles.

Are 30 60 90 triangles isosceles?

This is an isosceles right triangle. … The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees. Common examples for the lengths of the sides are shown for each below.

How do you solve a 30 60 90 triangle?

How many triangles are possible having angles 60 90 and 30?

there is only one triangle can be drawn having its angle 60, 90, 30. because as the angle sum property the measure of three angle is 180. and as the above given numbers sum is 180 only one triangle can be drawn having these angles.

What kind of triangle is 60 60 60?

Isosceles Triangle
Isosceles Triangle degrees 60, 60, 60 | ClipArt ETC.

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 cos1 of 0.8333:

How many triangles are possible having angles 60 90 and 30 a only one B None C Infinite D only 3?

Infinite triangles are possible having 60° , 90° and 30°. The angles of the prescribed triangle are 60°,30° and 90° which makes 180°,when we combine them. So,it will be a valid triangle if we go with the given angles.

Can a triangle have two obtuse angles?

We have the property that the sum of the angles of a triangle is always 180∘ . Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. … Hence having two angle obtuse, construction of a triangle is not at all possible.

How many triangles can be drawn having its angle as 45 64 and 72?

No triangle can be drawn having its angles 45°, 64° and 72°. Justification: According to angle sum property, We know that the sum of all the interior angles of a triangle should be = 180° .

How many triangles are possible having angles 60 80 and 40?

Explanation:-

We can make only one triangle by the given measurements.

Can a triangle have all angles less than 60?

A triangle with all the three angles less than 60 degree is possible.

How many triangles can be drawn having angles 50 30 and 100?

so,one triangle can be drawn easily .

What type of triangle has 40 60 80?

equilateral triangle
Footnote : ΔBPQ is actually an equilateral triangle.

Are all 40 60 80 triangles congruent?

Two triangles are similar when the triangles have the same size angles. In other words all triangles with angle measurments of 40, 60, and 80 degrees are similar no matter what their side lengths are.

How many triangles can be drawn having its angles as 60 degree 73 degree and 40 degree give reason for your answer?

Therefore, no triangle can be drawn which have these angles.

How many angles are greater than 90 degrees in acute angle triangle?

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.