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