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If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square. Is the given statement true or false? Justify your answer

Solution:

Let us consider

Area of triangle = Area of rectangle …. (1)

Area of rectangle = Area of square …. (2)

From both the equations

Area of triangle = Area of square

According to Euclid’s first axiom “Things equal to the same thing are equal.”

Therefore, the statement is true.

✦ Try This: Write the correct answer: Uma is of the same age as Likith. Rashmi is also of the same age as Likith. State the Euclid’s axiom that illustrates the relative ages of Uma and Rashmi a. First Axiom, b. Second Axiom, c. Third Axiom, d. Fourth Axiom

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.2 Sample Problem 1(iv)

If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square. Is the given statement true or false? Justify your answer

Summary:

The statement “If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square” is true

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