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andre [41]
3 years ago
11

A. Write the formula for the area A of a trapezoid. Use b1 and b2 for the lengths of the bases, and use h for the height.

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

(a) The formula for the area A of a trapezoid

                 A = \frac{1}{2}(b_{1}+ b_{2})h

(b) Solve the formula for h

                 h = \frac{2A}{b_{1}+b_{2}}

(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

A = \frac{1}{2}(b_{1}+ b_{2})h

(b) Solve the formula for h

As the formula for the area A of a trapezoid is  

A = \frac{1}{2}(b_{1}+ b_{2})h

So, formula for height h of trapezoid

h = \frac{2A}{b_{1}+b_{2}}

(c) Using the new formula to find the height h of the trapezoid

Using  h = \frac{2A}{b_{1}+b_{2}} to find the height h of the trapezoid.

So,

h = \frac{2A}{b_{1}+b_{2}}

h = \frac{2(72)}{16+8} ∵b₁ = 16, b₂ = 8, A = 72cm²

h = \frac{144}{24}

h = 6 cm

So, h = 6 cm

Hence, The height h of the trapezoid will be 6 cm.

Keywords: area of trapezoid, length, base, height

Learn more about height of trapezoid from  brainly.com/question/9967451

#learnwithBrainly

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