
Find length of GF in the given figure?

Answer
469.5k+ views
Hint: The given question requires us to find the length of a line segment. In the problem given to us, we have to first convert the geometrical problem into an algebraic equation and then solve it with the help of algebraic rules and methods like the transposition rule so as to find the value of variable x in the equation. Then, we put in the value of variable x in the expression of length of the sides to find the length of GF that is asked in the question.
Complete step by step solution:
Length of HG
Length of GF
Length 0f HF
As the lengths of the sides are given to us as algebraic expressions. Hence, we need to convert the problem into an algebraic equation that we can solve easily.
So, we know that from the figure given to us.
Hence,
So, we have turned the given problem into an algebraic equation. Now, we just have to solve the equation obtained with help of algebraic rules and methods like the transposition rule so as to find the value of variable x in the equation.
So,
Simplifying further, we get,
Hence, we got the value of x as .
So, the length of line segment GF
Hence, Length of GF is .
So, the correct answer is “3 units”.
Note: Transposition rule involves doing the same mathematical thing or operation on both sides of an algebraic equation as this does not alter the equation and the equation remains unchanged. We have used it here and found the result as lengths of both lines segment are the same.
Complete step by step solution:

Length of HG
Length of GF
Length 0f HF
As the lengths of the sides are given to us as algebraic expressions. Hence, we need to convert the problem into an algebraic equation that we can solve easily.
So, we know that
Hence,
So, we have turned the given problem into an algebraic equation. Now, we just have to solve the equation obtained with help of algebraic rules and methods like the transposition rule so as to find the value of variable x in the equation.
So,
Simplifying further, we get,
Hence, we got the value of x as
So, the length of line segment GF
Hence, Length of GF is
So, the correct answer is “3 units”.
Note: Transposition rule involves doing the same mathematical thing or operation on both sides of an algebraic equation as this does not alter the equation and the equation remains unchanged. We have used it here and found the result as lengths of both lines segment are the same.
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ounces are in 500 mL class 8 maths CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE
