Broward County Public Sc Grade 8 FSA WarmU Day 27 63 The dia
Broward County Public Sc Grade 8 FSA Warm-U Day 27 63./ The diagram below is used to prove the Pythagorean Theorem. What is the area of the trapezoid in the diagram? 66. Whic tenth figure a. (a+ b)(b +o) c. (a+ b) (a-b)(a+b) b) c. a. 1 d. 7 b. 1 d. 1
Solution
63. Area of a trapezoid is :
= (1/2)*b*a + (1/2)*c*c + (1/2)*(b)*a
= b*a + .5*c^2, also, c^2 = a^2 +b^2
= ab + (1/2)*(a^2 + b^2)
= (1/2)*2ab + (1/2)*(a^2+b^2)
= (1/2)*(a+b)^2
Hence, d is the right representation
