How do you find the value of x in a obtuse triangle?
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How do you find the value of x in a obtuse 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 find the third side of an obtuse triangle?
Square the length of the side opposite the obtuse angle. For the example, if the length is 4, then squaring it results in 16. Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 16 subtracted from 13 equals -3.
Which of the following is the possible length of the side of an obtuse triangle?
Explanation: The sum of the lengths of 2 sides of a triangle must be greater than—but not equal to—the length of the third side. Further, the third side must be longer than the difference between the greater and the lesser of the other two sides; therefore, 20 is the only possible answer.
How many obtuse angled triangles with natural sides can be drawn if two of sides are 8 and 15?
Consider obtuse angled triangles with sides 8 cm, 15 cm and x cm. If x is an integer then how many such triangles exist? If two sides are 8 and 15, then third side will have to be between (15-8) = 7 and (15+8) = 23. Thus, 10 values of x are possible.
What are the sides of an obtuse triangle?
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. One of the sides of this square coincides with a part of the longest side of the triangle.
How many obtuse angled triangles are possible?
Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
How do you know if a triangle is obtuse or acute?
An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees.
How do you make a triangle obtuse?
Construction
- Draw a horizontal line segment from point to by a ruler.
- Use protractor and mark a point at an obtuse angle.
- Take a compass and set it to any length by a ruler.
- Finally, join the points and by a line for completing the construction of a triangle geometrically.