The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse angles is 135°. find the area of the trapezoid.

Area of trapezoid = 45 in²

Step-by-step explanation:

In a isosceles trapezoid attached length of shorter base is 4 in., its altitude is 5 in. and the measure of its obtuse angle is 135°.

We have to find the area of the trapezoid.

Area of trapezoid =

Area of trapezoid =

Now AD = BC + 2x = (4 + 2x)

tan45 =

1 =

x = 5 in

Therefore, AD = 4+(5×2) = 4 + 10

AD = 14 in

Now area of trapezoid =

                                     = 9×5 = 45 in²

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

step-by-step explanation: