Question

2. A triangle and a trapezium are equal in area. They also have the same altitudes. If the base of the triangle is 36 cm, the mean of the parallel sides of the trapezium is : a 72cm b) 9 cm c) 18 cm d) 36 cm​

Answer 1

Answer: c)18 cm

Step-by-step explanation:

TRIANGLE: b=36cm, Height=h

TRAPEZIUM: Let the parallel sides be a and b. Height=h

Given, area of trapezium=area of the triangle

$\frac{1}{2}$ x (a+b) x h = $\frac{1}{2}$ x b x h

$\frac{a+b}{2}$=b/2=36/2=18cm

Therefore, the mean of the parallel sides is 18cm.

Answer 2

Answer:

72 cm = 36 cm + 36 cm

Step-by-step explanation: