Answer with explanation:
1.⇒Area of Parallelogram = Corresponding height × Base
= 2 cm × 18 mm
→1 cm = 10 mm
So, Area of Parallelogram
= 2 cm × 1.8 cm
= 3.6 cm²
Option C: →3.6 cm²
→→→2. A triplet ,that is set of three numbers is called Pythagorean triplet, if it is of the form of : {m²-1, 2 m , m²+1}
That is if you write the Pythagorean rule for Right triangle, having sides , m²-1, 2 m , m²+1
then ,→ Square of Largest side = Sum of squares of two smallest side
Square of Largest Side = (m²+1)²
Sum of squares of two smallest side= (2 m)² + (m²-1)²
= 4 m² + (m²)² -2 m²+1
= (m²)² +2 m²+1
=(m²+1)²
So, we will check out , out of four options which of them are Pythagorean Triplet.
Option 1.
Square of Largest Number = 82²=6724
Sum of squares of two smaller number= 42² + 40²
= 1764 +1600
= 3364
→Square of Largest Number ≠Sum of squares of two smaller number
6724 ≠ 3364
Not a Pythagorean Triple.
Option 2.
Square of Largest Number = 58²=3364
Sum of squares of two smaller number= 42² + 40²
= 1764 +1600
= 3364
→Square of Largest Number =Sum of squares of two smaller number
3364= 3364
A Pythagorean Triple.
Option 3.
Square of Largest Number = 58²=3364
Sum of squares of two smaller number= 41² + 41²
= 1681 +1681
= 3362
→Square of Largest Number ≠Sum of squares of two smaller number
3364 ≠ 3362
Not a Pythagorean Triple.
Option 4.
Square of Largest Number = 57²=3249
Sum of squares of two smaller number= 41² + 40²
= 1681 +1600
= 3281
→Square of Largest Number ≠Sum of squares of two smaller number
3249 ≠ 3281
Not a Pythagorean Triple.
Option B: (42, 40,58) is a Pythagorean triple.
