Question

2. Three squares have areas equal to 27 cm², 12 cm² and 15 cm? :
(1) Will the squares exactly surround a right angled triangle ?
(11) Explain your answer.​

Answer 1

Answer:

YES

Step-by-step explanation:

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Answer 2

Yes, the squares exactly surround a right angled triangle.

• Given area of squares are 27 cm² , 12 cm² and 15 cm².
• Length of sides will be equal to square root of the areas.
• Now in a right angled triangle , the sum of the squares of two smallest sides is always equal to the square of the biggest size.
• Therefore,

Sum of squares of two smallest sides = square of the biggest side

12 + 15 = 27

Left hand side is equal to the right hand side.

• Therefore, It satisfies the condition of right angled triangle.