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Q:

# What does a 45-degree angle look like?

A:

A 45-degree angle looks like the bisection of a right angle. If one constructs a right angle by drawing one axis horizontally and the other axis vertically, a 45-degree angle is halfway between a flat slope and a vertical slope.

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One way to create a 45-degree angle is to start with a straight line, then use a compass to create a perpendicular bisection, then finally create a bisection of the first straight line and the perpendicular bisection.

It is also possible to draw a 45-degree angle without a compass by using graph paper. Because a 45-degree angle has a slope of 1, one can create the angle by plotting points (x,y) starting from the origin (0,0) where x and y are the same value. For example, by plotting points (0,0), (1,1), (2,2) and so forth, and then drawing a straight line between these points, the line creates a 45-degree angle upward from the x-axis.

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Obtain the pitch, or slope angle, of a roof by calculating the ratio of the change in the roof's height to the corresponding horizontal distance. Roof pitch is expressed in ratios of 12 because it is measured by the foot. For example, a roof with a 6:12 pitch rises 6 inches for every horizontal foot.

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To find the area of a triangle without a right angle, you multiply one-half the base by the height. Obtuse triangles are included in this group.

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