Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but reasoned about it differently, as shown in the diagrams. Explain at least one student’s way of thinking and why his or her answer is correct.
Answers
Given : Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but reasoned about it differently, as shown in the diagrams.
To Find : Explain at least one student’s way of thinking and why his or her answer is correct.
Solution:
There are 28 squares in rectangle in 1st case
Hence area of rectangle = 28 sq units
Area of rectangle = base * height = 7 * 4 = 28
Area of triangle = (1/2) * base * height
Hence Area of triangle = (1/2) * 28 = 14 sq units
Area of parallelogram = base * height
Diagonal of parallelogram divided its area in 2 equal half
Hence area of triangle = (1/2) * 7 * 4 = 14 sq units
Area of parallelogram = base * height = 7 * 2 = 14 sq units
blue triangle and triangle about the line of parallelogram are congruent hence their area are same
so area of parallelogram = area of triangle
Learn More:
In a triangle abc, ad is angle bisector of a and ab : ac = 3 : 4. If the ...
brainly.in/question/11320075
find the length of angle bisector of triangle abc where a = 6 CM B = 6 ...
brainly.in/question/8651539
