The answer will depend on what information you do have.
If you know two sides and the included angle you can find the area. Then perpendicular distance = 2*Area/Base.
If you know all three sides then you can use the cosine rule to find one of the angles. Then, you have two sides and the included angle and can proceed as above. Actually, you can find the area directly from the three sides.
If you know one side and two angles, you effectively know one side and all three angles. You can use the sine rule to find one of the other sides and then you have two sides and an included angle and so can proceed as before.
There are more complicated solutions where other measures are known.
The answer will depend on what information you do have.
If you know two sides and the included angle you can find the area. Then perpendicular distance = 2*Area/Base.
If you know all three sides then you can use the cosine rule to find one of the angles. Then, you have two sides and the included angle and can proceed as above. Actually, you can find the area directly from the three sides.
If you know one side and two angles, you effectively know one side and all three angles. You can use the sine rule to find one of the other sides and then you have two sides and an included angle and so can proceed as before.
There are more complicated solutions where other measures are known.
The answer will depend on what information you do have.
If you know two sides and the included angle you can find the area. Then perpendicular distance = 2*Area/Base.
If you know all three sides then you can use the cosine rule to find one of the angles. Then, you have two sides and the included angle and can proceed as above. Actually, you can find the area directly from the three sides.
If you know one side and two angles, you effectively know one side and all three angles. You can use the sine rule to find one of the other sides and then you have two sides and an included angle and so can proceed as before.
There are more complicated solutions where other measures are known.
The answer will depend on what information you do have.
If you know two sides and the included angle you can find the area. Then perpendicular distance = 2*Area/Base.
If you know all three sides then you can use the cosine rule to find one of the angles. Then, you have two sides and the included angle and can proceed as above. Actually, you can find the area directly from the three sides.
If you know one side and two angles, you effectively know one side and all three angles. You can use the sine rule to find one of the other sides and then you have two sides and an included angle and so can proceed as before.
There are more complicated solutions where other measures are known.
The perpendicular distance is the shortest.
The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.
The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter, which is the point O, at which the perpendicular bisectors of the sides of the triangle are concurrent. Since our triangle ABC is an isosceles triangle, the perpendicular line to the base BC of the triangle passes through the vertex A, so that OA (the part of the bisector perpendicular line to BC) is a radius of the circle O. Since the tangent line at A is perpendicular to the radius OA, and the extension of OA is perpendicular to BC, then the given tangent line must be parallel to BC (because two or more lines are parallel if they are perpendicular to the same line).
The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.
The base and height when calculating the area of a triangle are always perpendicular with each other.
The altitude of a triangle is the distance from the line containing the base to the vertex. Draw the base and continue on outside of the triangle. Measure perpendicular from that line to the vertex.
That is the height of the triangle, the h in the formula a = 0.5b x h
Area of a triangle = 0.5*base*perpendicular height
The perpendicular distance from the base (either the longest side or the bottom) to the other corner
No. a equilateral triangle does not have perpendicular sides.
No. a equilateral triangle does not have perpendicular sides.
To find the circumcenter of an obtuse triangle, follow these steps: Identify the Triangle: Label the vertices of the triangle as A, B, and C. Construct Perpendicular Bisectors: For at least two sides of the triangle (e.g., AB and AC), find the midpoints and draw the perpendicular bisectors of these sides. Locate the Circumcenter: The point where the two perpendicular bisectors intersect is the circumcenter. In an obtuse triangle, the circumcenter will lie outside the triangle. Finally, you can verify that this point is equidistant from all three vertices of the triangle.
The Right Triangle. Perpendicular lines make a right angle.
Is a line that bisects a side of a triangle and is perpendicular to that side.
To inscribe a circle in a triangle, first, find the triangle's three angle bisectors. The point where these bisectors intersect is called the incenter, which serves as the center of the inscribed circle. Next, measure the perpendicular distance from the incenter to any side of the triangle; this distance is the radius of the inscribed circle. Finally, draw the circle using the incenter as the center and the measured radius.
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Area of a triangle = 0.5*base*perpendicular height