Question: How do you find the measure of the largest angle in a triangle?

How do you find the largest angle in a triangle?

use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally use angles of a triangle add to 180° to find the last angle.

How do you know which angle is bigger?

Can you determine which angle is the largest? As you might guess, the largest angle will be opposite 18 because it is the longest side. Similarly, the smallest angle will be opposite the shortest side, 7. Therefore, the angle measure in the middle will be opposite 13.

What is the largest angle of the triangle?

The largest angle is 5 times the smallest angle, so the largest angle is 5x degrees. So the smallest angle measures 24 degrees.

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The largest angle of a triangle is 5 times as big as the smallest angle. Is 120 five times as big as 24? Yes!

How do you find the angle of a triangle from smallest to largest?

In any triangle, the smallest angle is always across from the shortest side and the largest angle is always across from the longest side. In the triangle ABC given above , because angle A is the smallest angle, the side BC must be the shortest side.

How do you find the angle of a triangle given two sides?

Example

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

Which is the shortest side in right angle triangle?

In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.

What is the rule for finding the missing side of a triangle?

Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

What angle is opposite the longest side?

Concepts. The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side. Pythagorean Theorem: In a right triangle with hypotenuse c, a2+b2=c2.

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Does an angle get bigger if you make it’s lines longer?

Acute angles frequently are overestimated, an effect that has been attributed to lateral inhibi- tory mechanisms. … However, in Experiments 1 and 2, it was found that angles with longer arms were judged larger.

Do all triangles equal 180 degrees?

The answer is yes! To mathematically prove that the angles of a triangle will always add up to 180 degrees, we need to establish some basic facts about angles. The first fact we need to review is the definition of a straight angle: A straight angle is just a straight line, which is where it gets its name.

What is the greatest number of obtuse angles a triangle can contain?

Johnson Z. A triangle can have a maximum of 1 obtuse angle.

Which is the longest side of a triangle?

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.

How do you find the measure of an angle?

The best way to measure an angle is to use a protractor. To do this, you’ll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle’s measurement to the nearest degree.

Is it possible to have a triangle with the following angles and sides?

No,it is not possible sum of angle of triangle is 180 deegre.

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