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Activity Discussion Math Pythagoras Theorem

• # Pythagoras Theorem

Posted by on June 22, 2023 at 2:32 pm

“Consider a right triangle with the hypotenuse measuring 10 cm and one of the legs measuring 6 cm. What is the length of the other leg?”

replied 1 year ago 3 Members · 2 Replies
• 2 Replies
• ### Vinamra

Member
June 22, 2023 at 3:20 pm
0

In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Let’s use this theorem to find the length of the missing leg.

Given: Hypotenuse (c) = 10 cm One leg (a) = 6 cm

Let the length of the missing leg be b.

According to the Pythagorean theorem, we have:

c^2 = a^2 + b^2

Substituting the given values, we get:

10^2 = 6^2 + b^2

Simplifying further:

100 = 36 + b^2

To isolate b^2, we subtract 36 from both sides:

64 = b^2

Now, to find the length of the missing leg, we take the square root of both sides:

âˆš64 = âˆš(b^2)

Simplifying:

8 = b

Therefore, the length of the missing leg is 8 cm.

So, in the given right triangle with a hypotenuse of 10 cm and one leg measuring 6 cm, the length of the other leg is 8 cm.

• ### Rishi Raj

Member
June 22, 2023 at 4:00 pm
0

(hypotenuse)^2 = Sum of the squares of the other two sides.

let the length of the missing side be ‘x’.

(10)^2 = (6)^2 + (x)^2

100= 36 +x^2

x^2=100-36

x^2=64

x=8.

the length of the missing side will be 8 cm.

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