Question

What will be the base of right-angled triangle if its hypotenuse and perpendicular

are 13 and 5 respectively?

(a) 7 (b) 10 (c) 12 (d) 8​

Answer 1

Answer:option C

(hypotenuse)^2 = (base + perpendicular)^2

= (13)^2 = (base)^2 + 5^2

= 13×13 - 5×5 = base^2

= 169 - 25 = base^2

= 144 = base^2

144=12^2

base = 12

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Answer 2

Step-by-step explanation:

We Know That,

• In Pythagorean Theorem,
• Hypotenuse² = Perpendicular² + Base²
• h² = p² + b²
• Let the base be 'b'
• 13² = 5² + b²
• According to the question,
• Now, b² = h²- p²
• b² = 13²- 5²
• b² = 169 - 25
• b = √169 - 25
• b = √144
• b = 12

Here is your answer, option (c) 12