Answer:
(a) The formula for the area A of a trapezoid
(b) Solve the formula for h
(c) Find the height h of the trapezoid
The height h of the trapezoid is 6 cm.
Step-by-step explanation:
(a) The formula for the area A of a trapezoid
As b₁, b₂ being the lengths of the bases and 'h' is the height.
So, the formula for the area A of a trapezoid
(b) Solve the formula for h
As the formula for the area A of a trapezoid is
So, formula for height h of trapezoid
(c) Using the new formula to find the height h of the trapezoid
Using to find the height h of the trapezoid.
So,
∵b₁ = 16, b₂ = 8, A = 72cm²
So, h = 6 cm
Hence, The height h of the trapezoid will be 6 cm.
Keywords: area of trapezoid, length, base, height
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