NEED HELP QUICK 15 POINTS!!!! What is the area of the two-dimensional cross section that is parallel to face ABC?




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ft²

A right triangular prism containing dashed lines representing the hidden edges. The prism is resting on a triangular face, which is labeled D E F and contains right angle E. Side E F is labeled fifteen feet. The top of the prism is labeled A B C and contains right angle B. Side A B is labeled eight feet and side A C, which is the hypotenuse of the right triangular face, is labeled seventeen feet. The height of the prism is side C F labeled seventeen feet

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Answer:

60 ft²

Step-by-step explanation:

ΔABC ≅ ΔDEF

and sides are 8 ft, 15 ft, 17 ft

Area of both triangles will be same as well as any cross section parallel to them and is half the product of legs of right triangle:

  • A= 1/2*8*15= 60 ft²

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