Question

A trapezium whose parallel sides are 8cm and 11cm and it's area is 57cm find altitude (height) of trapezium ​

Answer 1

Answer:

6

Step-by-step explanation:

57 = 1/2 * height * (8+11)

height = (57*2)/19

height = 6

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Answer 2

• The height of the trapezium is 6 cm

Given:

The parallel sides of a trapezium are 8 cm and 11 cm

The area of the trapezium is 57 cm sq.

To find:

The height of the trapezium

• The formula used to find the area of a trapezium is

= 1/2 * (Sum of parallel sides) * height

Now,

We can use the area formula of the trapezium to find the value of the height (h),

So,

⇒ 1/2 * (8 + 11) * h = 57

⇒ 1/2 * 19 * h = 57

⇒ (19/2) * h = 57

⇒ h = 57 ÷ (19/2)

[By transporting (19/2) to RHS]

⇒ h = 57 * 2/19

⇒ h = 3 * 2

∴ h = 6 cm

Thus,

• The value of height (h) is 6 cm

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Trapezium:

• The quadrilateral in which one pair of opposite sides are parallel and the other two sides are non-parallel.