The longest side of an obtuse triangle is the one opposite the obtuse angle vertex. An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles). An obtuse triangle has only one inscribed square.
How do you find the longest side of an obtuse triangle?
Using the Pythagorean Theorem to identify obtuse triangles
For any triangle, if a2 + b2 2, where c is the longest side, the triangle is an obtuse triangle.
How do you know if a triangle is obtuse with side lengths?
When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
- Square all 3 sides.
- Sum the squares of the 2 shortest sides.
- Compare this sum to the square of the 3rd side.
How do you know which side is the longest in a triangle?
The longest side of a triangle is the side opposite the largest angle. For the given angles this would be the side opposite angle A.
How do you find the length of the third side of an obtuse triangle?
You can use the pythagorean theorem to see where the angle between the first two sides would be 90 degrees. Third side = sqrt(16^2 + 21^2) = 26.4.
How do you find the side of a triangle given two sides?
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
What are the sides of an acute triangle?
Properties of Acute Triangles
An equilateral triangle has three sides of equal length and three equal angles of 60°. An acute triangle has three inscribed squares. Each square coincides with a part of a triangle side. The other two vertices of a square are on the two remaining sides of the acute triangle.
How do you classify a triangle by its side lengths?
Classifying Triangles by Sides
- scalene triangle-a triangle with no congruent sides.
- isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
- equilateral triangle-a triangle with exactly 3 congruent sides.
- NOTE: Congruent sides means that the sides have the same length or measure.
How do you determine a triangle by its side lengths?
3. Use the side lengths to classify the triangle as acute, right, or obtuse. Classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides.
Does 5/12/13 make a right triangle?
Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…
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.
Is Side A always longer than Side B in a right triangle?
2 Answers. Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be the hypotenuse. The hypotenuse is always the triangle’s longest side. It is opposite the right angle.
Which side of triangle God is the shortest?
In such a triangle, the shortest side is always opposite the smallest angle. (These are shown in bold color above) Similarly, the longest side is opposite the largest angle. In the figure above, drag any vertex of the triangle and see that whichever side is the shortest, the opposite angle is also the smallest.
How do I find the third side of a triangle?
To use the Law of Sines to find a third side:
- Identify angle C. It is the angle whose measure you know.
- Identify a and b as the sides that are not across from angle C.
- Substitute the values into the Law of Cosines.
- Solve the equation for the missing side.
How do you find an angle of a triangle with 3 sides?
To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle. and finally use angles of a triangle add to 180° to find the last angle.
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In this triangle we know the three sides:
- a = 8,
- b = 6 and.
- c = 7.