To find the length of the unknown side of a right-angled triangle, we can use the Pythagorean theorem. This theorem states that 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.

The formula is: a² + b² = c²

Given that the two shorter sides (a and b) are 6.5 cm and 8.2 cm, we can substitute these values into the formula:

(6.5)² + (8.2)² = c²
42.25 + 67.24 = c²
109.49 = c²

To find c, we take the square root of 109.49:

c = √109.49
c = 10.46 cm

So, the length of the unknown side (the hypotenuse) is approximately 10.46 cm. Therefore, the correct answer is A. 10.46 cm.

Question

To find the length of the unknown side of a right-angled triangle, we can use the Pythagorean theorem. This theorem states that 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.

The formula is: a² + b² = c²

Given that the two shorter sides (a and b) are 6.5 cm and 8.2 cm, we can substitute these values into the formula:

(6.5)² + (8.2)² = c²
42.25 + 67.24 = c²
109.49 = c²

To find c, we take the square root of 109.49:

c = √109.49
c = 10.46 cm

So, the length of the unknown side (the hypotenuse) is approximately 10.46 cm. Therefore, the correct answer is A. 10.46 cm.

Knowee AI · Accepted Answer

To find the length of the unknown side of a right-angled triangle, we can use the Pythagorean theorem. This theorem states that 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.

The formula is: a² + b² = c²

Given that the two shorter sides (a and b) are 6.5 cm and 8.2 cm, we can substitute these values into the formula:

(6.5)² + (8.2)² = c²
42.25 + 67.24 = c²
109.49 = c²

To find c, we take the square root of 109.49:

c = √109.49
c = 10.46 cm

So, the length of the unknown side (the hypotenuse) is approximately 10.46 cm. Therefore, the correct answer is A. 10.46 cm.

right-angled triangle has two shorter sides measuring 6.5 cm and 8.2 cm.What is the length of the unknown side to the nearest 2 decimal places?A. 10.46 cmB. 14.70 cmC. 26.65 cmD. 109.49 cm

Question

Solution

Similar Questions

Upgrade your grade with Knowee