Question

The triangular piece of land has one of its angle 90° . the area of this land is 330 m'2 it one side is adjacent to right angle is 11 m what are the length of other two sides

Answer 1

Answer:

As it is a right angled triangle and as we can take base as 11 m, we have to find the height and the hypotenuse where area is given as 330 m'2.

Area = 1/2 x base x height

330 = 1/2 x 11 x height

height =

which is = 30 x 2 = 60 m

therefore,

which will give you,

so the answer is,

Therefore the three sides of the triangle are 11m, 60m and 61m.

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Step-by-step explanation:

Answer 2

Answer:

length of the other two sides is 60m and 61 m.

Step-by-step explanation:

according to the data given in the question, there is a right angled triangle that has an area of 330 sq. m.

as per the given data , a side adjacent to the right angle is 11 m.

Let, the area of the right angled triangle is given by A

and as per the formulae, $A=\frac{1}{2} b h$

where b denotes the length of base and h denotes the height.

so by putting the values , we assume that the given side is the base of triangle,

$330= \frac{1}{2} 11*h$

on transferring,

$h=\frac{330*2}{11}$

$h= 60m$

we need to find the third side also , that is the hypotenuse.

here in order to find the hypotenuse we will apply the Pythagoras theorem

$H^2=B^2+P^2$

here , h and P are the same.

we now put the values.

$H^2= 11^2 +60^2\\= 121+3600\\=3721$

$then, H=\sqrt{3721}\\ = 61 m$

length of the other two sides is 60m and 61 m.

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