Question

भारत के स्वतन्त्रता संघर्ष में महात्मा गाँधी के योगदान का मूल्यांकन कीजिए।
$36 \sqrt[?]{?}$
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Answer 1

Explanation:

†Question−1

⠀⠀⠀⠀

Two times a number is equal to six less than three times the number what the number is.

❍ Let's say, the number be n respectively.

A/Q,

Two times a number is equal to six less than three times the number '(n)'.

Therefore,

↠ 2n = 3n – 6

↠ 2n - 3n = - 6

↠- n = - 6

(Cancelling –ve sign from both sides).

↠ n = 6

\therefore∴ Hence, the needed number is 6.

\rule{250px}{.3ex}

\underline{\bf{\dag} \:\mathfrak{Question-2}}

†Question−2

⠀⠀⠀⠀

ABC is an isosceles triangle right angled at C. Prove that AB² = 2AC².

AnswEr :

Here, In ∆ ACB, we'll use Pythagoras theorem.

AC = BC Because, in isosceles triangle two sides are always equal and ∆ACB is an isosceles triangle.

And, AB is Hypotenuse (longest side).

↠(Hypotenuse)² = (Height)² + (Base)²

↠(AB)² = (AC)² + (BC)²

Here, in triangle (AC = BC). Hence, we can write AC instead of BC.

↠(AB)² = 2AC² ⠀⠀⠀⠀⠀⠀ ∴ (Hence, Proved!)