Answer:
x²= 4² +7²
Step-by-step explanation:
Since the triangle is a right-angled triangle, we can apply Pythagoras' Theorem. Pythagoras' Theorem states that the square of the hypotenuse side is equal to the sum of the squares of the other two sides.
(side)² +(side)²= (hypotenuse)²
In the given triangle, x is the length of the hypotenuse side.
Thus, the equation would be x²= 4² +7².
x²= 16 +49
x²= 65
Square root both sides:
[tex]x = \sqrt{65} [/tex]
x= 8.06 (3 s.f.)
