Question

the area and sum of parallel sides of the trapezium 60 cm square and 12 cm find its hieght ​

Answer 1

Answer:

height of trapezium is 10 cm.

Step-by-step explanation:

Area of trapezium=1/2* ( Sum of parallel sides )* h                                                    

→  60 = 1/2 * 12 * h    

→  60 = 6n * h

→  60/6 = h

→  h = 10 cm      

Therefore, the height of the trapezium is 10 cm.                                                                                                            

Answer 2

Answer :

➥ The height of the trapezium = 10 cm

Given :

➤ Area of the trapezium = 60 cm²

➤ Sum of parallel sides of the trapezium = 12 cm

To Find :

➤ Height of the trapezium (h) = ?

Solution :

As we know that

$\tt{:\implies Area_{(trapezium)} = \dfrac{1}{2}\times Sum_{(parallel\:sides)} \times h}$

$\tt{:\implies 60 = \dfrac{1}{ \cancel{ \: 2 \: }} \times \cancel{12} \times h}$

$\tt{:\implies 60 = 1 \times 6 \times h}$

$\tt{:\implies 60 = 6 \times h}$

$\tt{:\implies 60 = 6h}$

$\tt{:\implies \cancel{\dfrac{60}{6}} = h}$

$\tt{:\implies 10 = h}$

$\bf{:\implies \underline{ \: \: \underline{ \red{ \: \: h = 10 \: cm \: \: }} \: \: }}$

║ Hence, the height of the trapezium is 12 cm. ║

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Additional Information :

What is trapezium ?

➜ A trapezium is a quadrilateral, which is defined as a shape with four sides and one set of parallel sides. Apart from trapezium, there are four more types of quadrilaterals.

They are :

1. Parallelogram
2. Rectangle
3. Square
4. Rhombus

All these quadrilaterals have one common property, which is, the sum of all the angles is 360°.

What is formula of area of trapezium ?

➜ Area = 1/2 × sum of parallel sides × h

Where,

• h is the height

What is formula for perimeter of trapezium ?

➜ Perimeter = Sum of all the sides

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