Answer:1/2
Step-by-step explanation:
3/6 =1/2
In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.
If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.
Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.
Make sure you draw a diagram of it!!
AC=2AE ( because diagonal of rhombus bisect each others)
AE=8 cot 53°
AE=6
AC=2 x 6 = 12
Hence, The length of AC is 12
