melaninbarbie82
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The lengths of the bases of a trapezoid are 17 inches and 10 inches. The trapezoid has an area of 189 square inches.
What is the height of the trapezoid? h = 54 in
h = 18.9 in
h = 14 in
h = 11. 1 in​

Respuesta :

fieryanswererft

Answer:

height of this trapezoid is 14 inches.

Step-by-step explanation:

[tex]\boxed{Area -of -trapezoid=\frac{a+b}{2} h}[/tex]

[ Here lengths, a = 17 and b = 10 and area of trapezium given 189 ]

using the formula:

[tex]\frac{17+10}{2} *h = 189[/tex]

[tex]\frac{27}{2} h = 189[/tex]

[tex]h = \frac{189*2}{27}[/tex]

[tex]h =14[/tex]

For more trapezoid related questions: https://brainly.in/question/35963763

Solution:

Note that:

  • a₁ = 17 inches
  • a₂ = 10 inches
  • Area of trapezoid: 189 in²
  • Formula: (a₁ + a₂/2)h

Use the formula to find the area.

  • (a₁ + a₂/2)h = 189 in²
  • => (17 + 10/2)h = 189 in²
  • => (27/2)h = 189 in²
  • => h/2 = 7 in²
  • => h = 14 in

The height of the trapezoid is 14 in.

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