Question

Q-3 Solve the following and show necessary calculation: (any two)


1. Write the Pythagorean triplet whose one member is 18.


2. Construct a quadrilateral ABCD with measures:

AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm.


3. Find the cube root of 15625 by prime factorization method.


4. By which the smallest number 675 must be divided to obtain perfect cube. Also find
cube root of the perfect cube of number​

Answer 1

1) Pythagorean triplet containing 18 is 18, 80 and 82.

2) this answer is in the attachment

3) this answer is in the attachment

4) Here, the group of 5’s is not a triplet. To make it a triplet, we need to multiply by 5.

Thus, 675 × 5 = 5 × 5 × 5 × 3 × 3 × 3 = 3375 is a perfect cube

Hence, the smallest natural number by which 675 should be multiplied to make a perfect cube is 5.

please mark as brainliest I have spent a lot of time in these answers

Answer 2

Answer:

1) 2n=18

n=18/2

n=9

n²-1=9²-1

=81-1

=80

n²+1=9²+1

=81+1

=82

18²+80²=82²