Item 7 the base of a triangular prism is an isosceles right triangle with a hypotenuse of 50−−√50 centimeters. the height of the prism is 8 centimeters. find the surface area of the triangular prism. round your answer to the nearest tenth.

It is continuous data 

For any isosceles right triangle two sides are equal and one angle is right angle. therefore it has to be proved with the available data's it the given prism surface is a isosceles right triangle. solution : given hypotenuse is = 50â’â’âš50 cms(43 height of the prism (opp .side) is = 8 cms --2 according to pythagoras theorem ; hypotenuse ^2 = ad -side^2 + opp.side ^2 sub 1 and 2, we get (50â’â’âš50)^2 = ad.side ^2 + 8^2 ad.side^2 = 43 ( forms as base of a isosceles right triangle ) hence the value ad.side = hypotenuse = 43cms to find the area of a triangle, = (1/2) * base * height = 1/2* 43* 8 = 172 cm sq units.