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Q:

# Can a triangle have two perpendicular sides?

A:

A triangle can have two perpendicular sides. If two sides are perpendicular, the angle they form is a right angle. A triangle can have only one right angle.

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A triangle cannot have two sides perpendicular to a third side. The sum of the three angles of a triangle is exactly 180 degrees. It must have three sides and three angles. Thus, it cannot have two angles whose sum comes to 180 degrees.

In a right triangle, two sides are always perpendicular. The measurements of these sides are used to calculate the area of a right triangle. In an acute or an obtuse triangle, no two sides are perpendicular.

## Related Questions

• A:

The law of tangents states that for a triangle with sides a, b and c and corresponding angles A, B and C, (a - b)/(a + b) is equal to the tangent of (1/2[A - B])/(1/2[A + B]).

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• A:

The midline theorem, formally known as Varignon's theorem, states that a parallelogram is formed when the midpoints of the sides of any convex quadrilateral are connected in order. The area of the Varignon parallelogram is half of the original quadrilateral.

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An isosceles triangle could have rotational symmetry if it were also an equilateral triangle. An isosceles triangle is a triangle with at least two equal sides. An equilateral triangle is a triangle with exactly three equal sides. By definition, all equilateral triangles are also isosceles triangles.