Find the unknown side length in the given triangle.
20, 30, right angle, missing length
To find the missing side length in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this triangle, we have side lengths of 20 and 30. To find the missing length, let's call it x, we can set up the equation:
x^2 = 20^2 + 30^2
x^2 = 400 + 900
x^2 = 1300
By taking the square root of both sides of the equation, we can find the value of x:
x = √1300
Using a calculator, we can find that x is approximately 36.06.
Therefore, the missing length in the given triangle is approximately 36.06 units.
To find the missing length in a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's label the sides of the triangle:
A = 20 (one of the legs)
B = 30 (the other leg)
C (the hypotenuse)
Since it is a right triangle, we can use the Pythagorean theorem:
A² + B² = C²
Substituting the known values, we have:
20² + 30² = C²
Solving this equation:
400 + 900 = C²
1300 = C²
To find the value of C, we take the square root of both sides:
√1300 ≈ 36.06
Therefore, the length of the missing side is approximately 36.06 units.
To find the missing side length in a right-angled triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right-angled triangle with side lengths of 20 and 30. Let's designate the missing side length as 'x.' The known sides can be labeled as 'a,' 'b,' and 'c,' with 'c' being the hypotenuse.
Using the Pythagorean theorem:
a^2 + b^2 = c^2
Substituting the given values:
20^2 + 30^2 = x^2
400 + 900 = x^2
1300 = x^2
To find the value of 'x,' we need to take the square root of both sides:
√1300 = √x^2
36.06 ≈ x
Therefore, the unknown side length in this right-angled triangle is approximately 36.06 units.