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A triangle has the sides of 13 15 and 17 Is it right acute or obtuse?
It's acute. Sum the squares of the shorter two sides and compare to the square of the longest side. If the sum is less, the triangle is obtuse. If they are equal, the triangle is right angle. If the sum is more, the triangle is acute. 132 + 152 = 169 + 225 = 394 172 = 289 Sum is more so triangle is acute.
How many acute sides does an acute triangle have?
First: Sides are not acute or obtuse. ANGLES are acute or obtuse. An acute triangle has to have all angles acute. Examples: 60, 60, 60 70, 60, 50 45, 50, 85 45, 45. 90 30, 60, 90 But if one of the angles is obtuse (>90 degrees), then the other two must be acute. Of course, *this* triangle would not be called an acute triangle, because one of its angles is abtuse; it would be called an obtuse triangle.
How can you tell if 3 sides of a triangle are acute or obtuse?
First you would square the length of each of the sides. You'd add the squares of the smaller two numbers. If they are smaller than the square of the biggest side, then the triangle is obtuse. If their sum is bigger, then the triangle is acute. If they are equal, then the triangle is a right triangle.Example:length of sides-23, 34, 49232+342__492529+1156__24011685
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
Does an obtuse triangle always have 3 congruent sides?
An obtuse triangle does not always have three congruent sides. An obtuse triangle can be any form that always has three angles.
