Lets remember the property "alternative-interior angles" when we have parallels lines:
Given two paralles lines, the following is true:
In our question, we have:
We know that the angles J + P + K=180
So, the triangles have all the angles the same, so they are similar by angle-angle-angle, and they have one side congruent, AC=CD, so the triangles are congruents.
Answer: 288cm²
Explanation:
In the given trapezoid, there are 2 right angled triangles and 1 rectangles.
So,
area of trapezoid
=area of 2 right angled triangles +1 rectangle
=2×[16×3]/2 + 15×16
=48+240
=288 cm²
Note:
Area of right angled triangle
=(base× height)/2
&,
Area of rectangle
= length ×breadth