Question

b) Verify whether 7, 24, and 25 form a Pythagorean triplet.​

Answer 1

Answer:

Verified

Step-by-step explanation:

We know that in Pythagoras theorem, hypotenuse is the longest side of the right angled triangle.

Therefore assume c as hypotenuse,c=25m

opposite side as a, it can either be 7 or 24, your choice. I'll assume a=7m

adjacent side as b, b=24m

Pythagoras theorem= a^2+b^2=c^2

(7)^2+(24)^2=(25)^2

49 + 576 =625

625=625

L.H.S=R.H.S

THEREFORE 7,24 &25 is a Pythagorean triplet

Answer 2

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By using Pythagoras Theorem...

☯ (HYPOTENUSE)² = (SIDE)² + (SIDE)²

Let,

• PQ = 7 cm.
• PR = 24 cm
• QR = 25 cm.

➡ (QR)² = (PQ)² + (PR)²

➡ (25)² = (24)² + (7)²

➡ 625 = 576 + 49

➡ 625 = 625

Therefore, RHS = LHS. Hence, it is verified.

Step-by-step explanation:

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