Question

The lengths of the bases of a trapezoid are 17 inches and 10 inches. The trapezoid has an area of 189 square inches.

Answer 1

Answer:

height of this trapezoid is 14 inches.

Step-by-step explanation:

$\boxed{Area -of -trapezoid=\frac{a+b}{2} h}$

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

using the formula:

$\frac{17+10}{2} *h = 189$

$\frac{27}{2} h = 189$

$h = \frac{189*2}{27}$

$h =14$

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

Answer 2

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.