Respuesta :

Answer:

10 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = [tex]\sqrt{100}[/tex] = 10 cm

Answer:

[tex]\huge\boxed{c = 10\ cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=> [tex]c^2 = 8^2+6^2[/tex]

=> [tex]c^2 = 64 + 26[/tex]

=> [tex]c^2 = 100[/tex]

Taking sqrt on both sides

=> c = 10 cm

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE