Respuesta :
tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3
Trapezoid area = ((sum of the bases) ÷ 2) • height
Trapezoid area = (9 + 15) /2 * height
Trapezoid area = 12 * 3
Trapezoid area = 36
height = 3 * tan (45)
height = 3 * 1
height = 3
Trapezoid area = ((sum of the bases) ÷ 2) • height
Trapezoid area = (9 + 15) /2 * height
Trapezoid area = 12 * 3
Trapezoid area = 36
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The area of the trapezoid is 36 square units if the isosceles trapezoid has base angles of 45° and bases of lengths 9 and 15.
What is a trapezoid?
It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
Figure is attached in the picture, please refer to the figure.
From the figure:
tan45 = h/3
h = 3
The are of the trapezoid = [(a+b)/2]×h
= [(9+15)/2]×3
Trapezoid area = 36 square units
Thus, the area of the trapezoid is 36 square units if the isosceles trapezoid has base angles of 45° and bases of lengths 9 and 15.
Learn more about the trapezoid here:
brainly.com/question/8643562
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