Answer :
Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10
The length of the triangle's other leg is 12.649.
What is triangle?
Triangle is "3-dimensional shape with 3-sides, 3-vertices and 3 angles".
According to the question,
The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters in order to find the other length of the triangle.
Pythagoras theorem, a² + b² = c²
Let a = 6; b = other length of the triangle; c = 14
6² + b² = (14)²
b² = (14)² - 6²
b² = 196 - 36
b² = 160
b = √160
b = 4√10
b = 4(3.163)
b = 12.649
Hence, the length of the triangle's other leg is 12.649.
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