![]() ![]() The distance of the tunnelâs starting point to the top is $100$ feet. The total height of the mountain is known to be $500$ ft. ![]() Suppose the mountain stopping the path is like a right-angle triangle, as shown in the figure below. Use the triangle proportionality theorem to find the value of â $x$â for the figure below.Ī team of civil engineers is designing a model for a highway, and they want to build a tunnel inside a mountain. In a triangle $XYZ$, $CD|| YZ$ while $XC = 6 cm$, $CY = 1.5 cm$ and $DZ = 3 cm$. The formula for triangle proportional theorem is given as: In a triangle $XYZ$, $CD|| YZ$ while $XC = 3 cm$, $CY = 1cm$ and $XD = 9 cm$. It is used in making tables of different sizes and lengths.It helps build roads and caves in triangular mountains.For example, if you want to build a house with triangular support beams for the roof, then utilizing the triangle proportionality theorem will help you a lot. The triangle proportionality theorem is used in construction purposes. ![]() Hence it is proven that when the line cuts the two sides of triangles in equal proportion, it is parallel to the third side.Īpplications of Triangle Proportionality Theorem The condition $\angle XCD \cong both the triangles are similar, then angle $\angle XCD \cong ![]()
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