Q18 of 69 Page 240

For an isosceles right angles triangle having each of equal sides ‘a’ , we have

I. Area =a2


II. Perimeter = (2 +)a


III. Hypotenuse = 2a


Which of the following is true?

We know that,

Area of triangle =


=


=


Now, Hypotenuse =


=


=


Perimeter = a + a +


= 2a +


= a (2 + )


∴ I and II are true


Hence, option (c) is correct

More from this chapter

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16

The area of an equilateral triangle is cm2. Its height is-

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The difference between the semi- perimeter and the sides of a ∆ ABC are 8cm, 7cm and 5cm respectively. The area of the triangle is –

 19

For an isosceles triangle having base b and each of the equal sides as a, we have:

I. Area =


II. Perimeter = (2a +b)


III. Height =


Which of the following is true?

 20

The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.











Assertion (A)



Reason (R)



Area of an equilateral triangle having each side equal to 4cm is sq cm.



Area of an equilateral triangle having each side a is a2 sq units.