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If there is a picture, it would be very useful, because the height and slant height are two sides of a right triangle. A good picture would show that the bottom side of this triangle is half the side length of the square. This is a leg of the right triangle: A=12' The hypotenuse of the triangle is the slant height: C=46' The "unknown" height is the other leg of the right triangle: B=? The pythagorean theorem A2+B2=C2 gives 144sqft+B2=2116sqft Solving for B gives B=44.4' Therefore, the height of the pyramid is 44.4 feet.
A Scalene Triangle is a triangle where all three sides are different in length.
The ratio of the length of the side in the big triangle to the length of the corresponding side in the little triangle is the scale factor.
A rectangle is a two dimensional object: height, width and length are three dimensions.
An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60
A line segment has length. That is its only dimension. It does not have any width, or height or depth.
Volume = length times width times height = length x width x height In our case the volume = 20 x 14 x 8 = 2240 cubic feet
Square meters show that there is a flat area. We calculate the area by length times width. This is two-dimensional. Cubic meters show that there is a volume. We calculate the volume by length times width times height. That is three-dimensional.
Love Triangle - game show - was created on 2011-04-11.
Love Triangle - game show - ended on 2011-08-28.
You can use the distance formula to show that all four sides are the same length. The shape must, therefore, be a rhombus or square. If you then show that the length of the diagonal is sqrt(2) times the length of the side then, by Pythagoras, the diagonal and sides from a right angled triangle. The shape must, therefore, be a square.
Basic Proportionality Theorem says: If a line is drawn parallel to one side of the triangle to intersect the other two sides at distinct points .Then the other two sides are divided in the same ratio. PROOF ( to follow this proof, just draw the triangles and segments) Draw triangle PQR and construct line L parallel to segment QR. Line L intersects segment PQ and segment PR at S and T respectively. We want to show that length of PS/ length of QS is equal to length PT/ length of PR since that is what the BPT says. Construct segments SR and QT. Look at triangles PTS and QTS and note they have the same height which implies that the area of triangle PTS/ area of triangle QTS is equal to PS/ SQ. By the same reasoning, the areas of triangle SPT/ triangle SRT is equal to PT/TR. Triangles QTS and SRT both have the same height and both have ST as a base segment so they have the same area. So the ratio of the area of triangle PTS to the area of triangle QTS is equal to the ratios of the area of triangles SPT/SRT. So the ratio of PS/SQ is equal to PT/TR Since line L which is parallel to segment QR divides segment PQ and segment PR in the same ratio we have proved the BPT.