Respuesta :
pythagrean theorem
a²+b²=c²
7cm² + 3cm² = c²
49 + 9 = c²
58 = c²
√58 = c
c = 7.62cm
a²+b²=c²
7cm² + 3cm² = c²
49 + 9 = c²
58 = c²
√58 = c
c = 7.62cm
Answer:
Hypotenuse, AB = 7.61 cm
Step-by-step explanation:
In the given figure it is given that, ABC is a right angled triangle with base length BC = 3 cm and perpendicular distance AC = 7 cm. We have to find the length of hypotenuse i.e. AB
The length of hypotenuse is solved using Pythagoras theorem. The mathematical expression for the Pythagoras theorem can be written as :
[tex]AB^2=AC^2+BC^2[/tex]
[tex]AB^2=7^2+3^2[/tex]
[tex]AB^2=58[/tex]
AB = 7.61 cm
So, the length of the hypotenuse of the triangle is equal to 7.61 cm