Question

5. What is the distance from V to W? V=8 cm W 15 cm m<VW= 90​

Answer 1

`\huge \boxed{\sf 17\ cm}`

Pythagoras discovered that the square of the hypotenuse of a right-angled triangle, where one of the angles is 90 degrees, equals the sum of the squares of the other two sides.

`\sf a^2 + b^2=c^2\\\\8^2 + 15^2=c^2\\\\ √(8^2 + 15^2) =c\\\\17=c`

Answer 2

17 cm

Explanation:

If the angle between V and W is 90°, then this implies that V and W are legs of a right triangle (and the distance between them is the hypotenuse).

Use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle.

Let D = distance between V and W:

⇒ V² + W² = D²

⇒ 8² + 15² = D²

⇒ 289 = D²

⇒ D = √289

⇒ D = 17

Therefore, the distance from V to W is 17 cm