[tex]__________________________[/tex]
The Pythagorean theorem states that [tex]\sf a^2 + b^2 = c^2[/tex], where a and b are the legs and c is the hypoténuse.
[tex]\sf a^2 + b^2 = c^2[/tex]
[tex]\sf b = \sqrt{c^2 - a^2}[/tex]
[tex]\sf b = \sqrt{(10)^2 - (6)^2}[/tex]
[tex]\sf b = \sqrt{100 -36}[/tex]
[tex]\sf b = \sqrt{64}[/tex]
[tex]\sf b = 8[/tex]
∴ The missing side is 8.
[tex]\large\mathbb{ ANSWER }{:}[/tex]
[tex]\large\mathbb{ SOLUTION }{:}[/tex]
To find the missing side or the other leg of this right triangle, we need to apply the Pythagorean Theorem. This is the square of two legs is equal to square of the hypótenuse.
[tex]\large\mathbb{ FORMULA }{:}[/tex]
Hence, the value of other leg is 8.
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PYTHAGOREAN THEOREM
[tex]__________________________[/tex]
Given:
Answer & Solution:
The Pythagorean theorem states that [tex]\sf a^2 + b^2 = c^2[/tex], where a and b are the legs and c is the hypoténuse.
[tex]\sf a^2 + b^2 = c^2[/tex]
[tex]\sf b = \sqrt{c^2 - a^2}[/tex]
[tex]\sf b = \sqrt{(10)^2 - (6)^2}[/tex]
[tex]\sf b = \sqrt{100 -36}[/tex]
[tex]\sf b = \sqrt{64}[/tex]
[tex]\sf b = 8[/tex]
∴ The missing side is 8.
Pythagorean Theorem
[tex]\large\mathbb{ ANSWER }{:}[/tex]
[tex]\large\mathbb{ SOLUTION }{:}[/tex]
To find the missing side or the other leg of this right triangle, we need to apply the Pythagorean Theorem. This is the square of two legs is equal to square of the hypótenuse.
[tex]\large\mathbb{ FORMULA }{:}[/tex]
[tex]\large\mathbb{ SOLUTION }{:}[/tex]
Hence, the value of other leg is 8.