Question

Ram has a field vin the shape of a right angle triangle w ith perpendicular sides of lengths 144 m and 84m . He wants to leave a space in the form of a square of largest size inside the field for growing wheat and the remaining for growing vegetables​

Answer 1

Answer:

this is not answer of this

but this is correct method so you can put and you can get answer

sorry for bad English

Answer 2

Concept

• A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more technically, an orthogonal triangle, formerly known as a rectangled triangle.
• Trigonometry's fundamental concept is the relationship between a right triangle's sides and other angles.
• A right-angled triangle, often known as a right triangle, is a triangle in which one of the angles is 90 degrees.

Given

Ram has a field in the shape of a right angle triangle with perpendicular sides of lengths 144 m and 84m and he wants to leave a space in the form of a square of largest size inside the field for growing wheat and the remaining for growing vegetables​

Find

We have to find the dimension of square field

Solution

The steps are as follow:

• Let side of square DEFB be x m and let ABC be a right angled triangle with AB as b m and BC as a m.
• From the below figure attached we can see that, FC || DE , EF || AD and CE || EA .
• Hence ΔADE is congruent to ∆EFC .
• Then,

AD/DE = EF/FC

(b - x)/x = x/(a - x)

x * x = (a - x)(b - x)

x² = ab - x(a + b) + x²

x(a + b) = ab

x = {ab/(a + b)}

• So the sides of triangle will be as follow:

Side of square = (144 * 84)/(144 + 84)

Side of square = (144 * 84)/228

Side of square = 53.05 m

Hence the length of side of square will be 53.05 m

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