Question

What is the length of the hypotenuse of the triangle when x= 12?

Answer 1

Answer:

The length of the hypotenuse: c = 96.8 units

Step-by-step explanation:

Given the sides

• a = 6x+4

• b = 5x

• c = hypotenuse = ?

Given that the x = 12

so

• a = 6x+4 = 6(12)+4 = 76

• b = 5x = 5(12) = 60

Pythagorean Theorem:

For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:

$c=\sqrt{a^2+b^2}$

substituting a = 76 and b = 60

$c=\sqrt{76^2+60^2}$

$c=4\sqrt{586}$

$c = 96.8$ units

Therefore, the length of the hypotenuse: c = 96.8 units