In his science class, Boris conducted an experiment in which he used a glass prism to make a rainbow. He now wants to find the s
urface area of the prism. His teacher gets him a paper model of the prism and spreads it into a flat shape called a net. Boris can see that the net has exactly the same number of faces as the prism. The teacher tells Boris that he can use this net to find the surface area of the prism. Use this image of the net of the prism that Boris’s teacher drew to answer the questions in this activity.
Part A
What is the area of triangle i? Show your calculation.
Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.
Part A
What is the area of triangle i? Show your calculation.
Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.
1 answer:
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Answer: (a,a)
Step-by-step explanation:
Given: A right isosceles triangle which is placed on the coordinate plane such that one of the legs of the triangle lies along the x-axis and the other leg is parallel to the y-axis.
From the given figure one vertex is on origin(0,0) and second on x -axis as (a,0) .ii.e. one side of the triangle is on the x axis with length 'a' and the side parallel to the y axis should perpendicular to the x axis with length 'a'.(∵ two sides are equal in a right isosceles triangle)
So the coordinates should she assign to the third vertex of the right isosceles triangle is (a,a).[as the point lie above the point (a,0), so its x abscissa should be same]
