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#3 с с E b Fig. 2 A D a) Prove first that the area of the trapezoid is half the product of the height and the Sum of the bases 6) Consider right SABC. Extend AC to D So that CD = c and construct DELAD at D, with DE = 6. Draw CE and BE Prove that SABC = ACDE as in Fig. 2. c? Explain why BC = CE and why BCE is righ d) Explain why ABED is trapezoid. e) Find area ABED by using the formula and then by considering the sum of areas of its 3 triangles. From this Prove Pytha gorean Theorem

#3 с с E b Fig. 2 A D a) Prove first that the area of the trapezoid is half the product of the height and the Sum of the bases 6) Consider right SABC. Extend AC to D So that CD = c and construct DELAD at D, with DE = 6. Draw CE and BE Prove that SABC = ACDE as in Fig. 2. c? Explain why BC = CE and why BCE is righ d) Explain why ABED is trapezoid. e) Find area ABED by using the formula and then by considering the sum of areas of its 3 triangles. From this Prove Pytha gorean Theorem

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#3 C E с b Fig. 2 A b a) Prove first that the area is half the product of the height and the Sum of the bases C D that the area of the trapezoid 6) Consider right SABC. Extend AC to D So that CD = c and construct DE LAD at D. with DE = b. Draw CE and BE as in Fig. 2. Prove that 17BC = ACDE c? Explain why BC = CE and why BCE is right. d) Explain why ABED is trapezoid. e) Find area ABED by using the formula and then by considering the sum of areas of i75 3 triangles. From this Prove Pythagorean Theorem
Transcribed Image Text:#3 C E с b Fig. 2 A b a) Prove first that the area is half the product of the height and the Sum of the bases C D that the area of the trapezoid 6) Consider right SABC. Extend AC to D So that CD = c and construct DE LAD at D. with DE = b. Draw CE and BE as in Fig. 2. Prove that 17BC = ACDE c? Explain why BC = CE and why BCE is right. d) Explain why ABED is trapezoid. e) Find area ABED by using the formula and then by considering the sum of areas of i75 3 triangles. From this Prove Pythagorean Theorem
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