Question

check if the following is a right angled triangle or not a=15 ,b=20, c=25 ​

Answer 1

Given :-

• Hypothenuse = 25
• Perpendicular = 20
• Base = 15

To Check :-

• Whether, it's a right angled triangle or not.

Solution :-

In a Right Angled Triangle , (Hypotenuse)² = (Perpendicular)² + (Base)². If RHS = LHS then it's a Right Angled Triangle but , RHS ≠ LHS then it's not a Right Angled Triangle.

⇒ (Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ (25)² = (20)² + (15)²

⇒ (25)² = 400 + 225

⇒ 625 = 400 + 225

⇒ 625 = 625

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Therefore, It's a Right Angled Triangle

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Answer 2

Step-by-step explanation:

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$\huge{\underline{\mathrm{Given\: :}}}$

$\sf\green{∴Hypothenuse = 25 }$

$\sf\blue{∴Perpendicular = 20 }$

$\sf\red{ ∴Base = 15}$

$\huge{\underline{\mathrm{To\: Find}}}$

Whether, it's a right angled triangle or not.

$\huge{\underline{\mathrm{Solution\: :}}}$

$\sf\green{⟼ (Hypotenuse)² = (Perpendicular)² + (Base)² }$

$\sf\orange{ ⟼ (25)² = (20)² + (15)²}$

$\sf\blue{⟼ (25)² = 400 + 225 }$

$\sf\pink{⟼625 = 400 + 225 }$

$\sf\red{⟼ 625 = 625 }$

Therefore, It's a Right Angled Triangle.

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