Question

An isosceles trapezoid was broken into a rectangle and two triangles. What are the base and height of one of the triangles?

Answer 1

The complete question is as follows.

An isosceles trapezoid was broken into a rectangle and two triangles. What arethe base and height of one of the triangles?

a) base = 8m; height = 6m

b) base = 6m; height = 4m

c) base = 2m; height = 6m

d) base = 4m; height = 2m

Answer: c) base = 2; height = 6

Step-by-step explanation: According to the image, a rectangle with the top measuring 4m is created. So, its base is also 4.

The trapezoid's base is 8, so:

4 + x + x = 8

2x = 4

x = 2

Each triangle has base = 2.

The height of the trapezoid is 6, so, the height of the triangle is also 6.

One of the triangle has base = 2 m and height = 6 m

Answer 2

base = 2 m; height = 6 m

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information:

• base of 8 meters
• height of 6 meters
• top side length of 4 meters.

=> the height of one of the triangles equal to the the height of the trapezoid = 6 meters

=> the base of the triangles:

= (the base of the trapezoid - the top side length) / 2

= (8-4)/2

= 2

So the base and height of one of the triangles : base = 2 m; height = 6 m

Hope it will find you well.