Question

The sum of parallel sides of a trapezium is 17 cm and its area is 85 sq cm. what is its height
10 cm
5 cm
17 cm
20cm

Answer 1

Given:

$\sf{sum \: of \: parallel \: sides = 17cm}$

$\tt{area \: of \: trapezium = 85 {cm}^{2} }$

To Find :

☆ Height

Solution:

$\boxed{ \orange{\mathfrak{a = \frac{1}{2}(a + b)h}}}$

$\implies \: 85 = \frac{1}{2} \times 17 \times h$

$\implies \: 85 \times 2 = 17h$

$\implies \: 170 = 17h$

$\implies \: h = \frac{170}{17} = 10cm$

$\therefore \mathfrak{ \green{ \: height = 10cm}}$

Answer 2

Given:-

• Sum of parallel side = 17cm
• Area of trapezium ,A = 85m²

To Find:-

• Height,h ?

Solution:-

As we know that area of trapezium is calculated by half of the sum of parallel side into height .

☯Area = 1/2 × Sum of Parallel side × height

Substitute the value we get

$\longrightarrow$ 85 = 1/2 × 17 × h

$\longrightarrow$ 170 = 17 ×h

$\longrightarrow$ 170/17 = h

$\longrightarrow$ 10 = h

• Hence, the height of trapezium is 10m .