Question

area of a Trapezium is 14 cm² the parallel sides are 14 cm and 26 cm find the height of trapezium​

Answer 1

Step-by-step explanation:

trapezium formula

1/2*( 1 parallel side + 1 parallel side)* hieght

let the hieght be h

1/2*(14+26)*h=14 cm

1/2 (40)*h=14

1*20*h=14

h= 14/20

hieght=

0.7 cm

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Answer 2

We are given with,

Area = 14cm²

Two parallel sides 14cm and 26cm respectively.

We know,

Area of a trapezium = ½(a + b)h

Where,

(a + b) denotes the sum of the parallel sides.

h is the height.

Substitute the given values,

$\sf⇒ 440 = \dfrac{1}{2}(14 + 26)h$

$\sf⇒ 440 = \dfrac{1}{2}(40)h$

$\sf⇒ 440 = 20h$

$\sf⇒ h = \dfrac{440}{20}$

$\sf⇒ h = \cancel \dfrac{440}{20}$

$\sf⇒ h = 22$

∴ Height of the trapezium is 20cm.

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