The missing length of the triangle is 8.1 cm.
Solution:
Given triangle ACB is a right triangle.
AC = 4 cm, BC = 7 cm.
To find the length of AB:
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]AB^2=AC^2+BC^2[/tex]
[tex]AB^2=4^2+7^2[/tex]
[tex]AB^2=16+49[/tex]
[tex]AB^2=65[/tex]
Taking square root on both sides.
AB = 8.06
AB = 8.1
The missing length of the triangle is 8.1 cm.
