Math / Geometry

QuestionFind the missing side.
Round to the nearest tent

Studdy Solution

STEP 1

1. The triangle is a right triangle.
2. The side labeled $x$ is the hypotenuse of the triangle.
3. The sides labeled 19 and 14 are the legs of the triangle.
4. We will use the Pythagorean Theorem to find the missing side $x$ .

STEP 2

1. Apply the Pythagorean Theorem.
2. Solve for $x$ .
3. Round $x$ to the nearest tenth.

STEP 3

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse ( $x$ ) is equal to the sum of the squares of the other two sides.
$x^2 = 19^2 + 14^2$

STEP 4

Calculate the squares of the two given sides:
$19^2 = 361$ $14^2 = 196$

STEP 5

Add the squares to find $x^2$ :
$x^2 = 361 + 196$ $x^2 = 557$

STEP 6

Take the square root of both sides to solve for $x$ :
$x = \sqrt{557}$

STEP 7

Calculate the square root of 557 and round to the nearest tenth:
$x \approx 23.6$
The length of the missing side $x$ is approximately $\boxed{23.6}$ .

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QuestionFind the missing side.
Round to the nearest tent

Studdy Solution

STEP 1

1. The triangle is a right triangle.
2. The side labeled $x$ is the hypotenuse of the triangle.
3. The sides labeled 19 and 14 are the legs of the triangle.
4. We will use the Pythagorean Theorem to find the missing side $x$ .

STEP 2

1. Apply the Pythagorean Theorem.
2. Solve for $x$ .
3. Round $x$ to the nearest tenth.

STEP 3

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse ( $x$ ) is equal to the sum of the squares of the other two sides.
$x^2 = 19^2 + 14^2$

STEP 4

Calculate the squares of the two given sides:
$19^2 = 361$ $14^2 = 196$

STEP 5

Add the squares to find $x^2$ :
$x^2 = 361 + 196$ $x^2 = 557$

STEP 6

Take the square root of both sides to solve for $x$ :
$x = \sqrt{557}$

STEP 7

Calculate the square root of 557 and round to the nearest tenth:
$x \approx 23.6$
The length of the missing side $x$ is approximately $\boxed{23.6}$ .

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QuestionFind the missing side.Round to the nearest tent

Studdy Solution

STEP 1

1. The triangle is a right triangle.2. The side labeled x x x is the hypotenuse of the triangle.3. The sides labeled 19 and 14 are the legs of the triangle.4. We will use the Pythagorean Theorem to find the missing side x x x.

STEP 2

1. Apply the Pythagorean Theorem.2. Solve for x x x.3. Round x x x to the nearest tenth.

STEP 3

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (x x x) is equal to the sum of the squares of the other two sides.x2=192+142 x^2 = 19^2 + 14^2 x2=192+142

STEP 4

Calculate the squares of the two given sides:192=361 19^2 = 361 192=361 142=196 14^2 = 196 142=196

STEP 5

Add the squares to find x2 x^2 x2:x2=361+196 x^2 = 361 + 196 x2=361+196 x2=557 x^2 = 557 x2=557

STEP 6

Take the square root of both sides to solve for x x x:x=557 x = \sqrt{557} x=557​

STEP 7

Calculate the square root of 557 and round to the nearest tenth:x≈23.6 x \approx 23.6 x≈23.6 The length of the missing side x x x is approximately 23.6 \boxed{23.6} 23.6​.

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QuestionFind the missing side.
Round to the nearest tent

1. The triangle is a right triangle.
2. The side labeled $x$ is the hypotenuse of the triangle.
3. The sides labeled 19 and 14 are the legs of the triangle.
4. We will use the Pythagorean Theorem to find the missing side $x$ .

1. Apply the Pythagorean Theorem.
2. Solve for $x$ .
3. Round $x$ to the nearest tenth.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse ( $x$ ) is equal to the sum of the squares of the other two sides.
$x^2 = 19^2 + 14^2$

Calculate the squares of the two given sides:
$19^2 = 361$ $14^2 = 196$

Add the squares to find $x^2$ :
$x^2 = 361 + 196$ $x^2 = 557$

Take the square root of both sides to solve for $x$ :
$x = \sqrt{557}$

Calculate the square root of 557 and round to the nearest tenth:
$x \approx 23.6$
The length of the missing side $x$ is approximately $\boxed{23.6}$ .