Question

Is this correct and if not how do I solve quickkkkkk!!!!!

Answer 1

answer is 29

Explanation:

since the area of the square is 441 we know each side measure is
`√(441)` which is 21

since this is a right triangle and we know the value of two sides we can use the Pythagorean Theorem to find the third side, in this case the 'hypotenuse'

theorem states that the sum of the legs, squared, equals the hypotenuse squared

20² + 21² = x²

400 + 441 = x²

x² = 841

x =
`√(841)` which is 29

Answer 2

29 m

Explanation:

The dashes mean that the lines are equal in length, so from this we can determine that the area marked 441 m² is a square.

Area of a square = x², where x is the length of 1 side.

Therefore, x = √441 = 21 m

Now we have a right-angled triangle with two legs of 20 m and 21 m. We need to find the hypotenuse (labelled ?). To do this, use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse.

Therefore,

20² + 21² = c²

⇒ 400 + 441 = c²

⇒ 841 = c²

⇒ c = √841

⇒ c = 29

So the side marked ? on the diagram is 29