Question

In a right triangle, the legs are 1/x and 1/3. If the hypotenuse is 5/12, what is x?

Answer 1

Answer:

x=4

Step-by-step explanation:

(5/12)²-(1/3)²

=(25/144)-(1/9)

=(25/144)-(16/144)

=9/144

=

$\sqrt{9 \div 144}$

=3/12

=1/4

Answer 2

The value of x = 4

Given:

In a right triangle, the legs are 1/x and 1/3

And the hypotenuse is 5/12

To find:

The value of x

Solution:

Given the legs are 1/x and 1/3 and hypotenuse = 5/12

As we know from Pythagorean theorem,

In a right angle triangle sum of the squares of the legs (i.e sides) is equals to the square of the hypotenuse

From above data,

⇒  (5/12)² = (1/x)² + (1/3)²

⇒  (25/144) = 1/x² + 1/9

⇒  1/x² = (25/144) - 1/9        

⇒  1/x² = (225-144)/ 1296

⇒  1/x² = 81/1296

⇒   x² = 1296/81

⇒   x = 36/9 = 4  

The value of x = 4

#SPJ2