Question

What is the length of the side opposite <D?
units
sin(D)= ​

Answer 1

a) 5

b) 5/13

Explanation:

Answer 2

a) 5

b) 5/13

Explanation:

The given right triangle has the hypotenuse to be 13 units and one leg is 12 units.

Using Pythagoras theorem

`{x}^(2) + {12}^(2) = {13}^(2)`

`{x}^(2) = 169 - 144`

`{x}^(2) = 25`

`x = 5`

Hence the missing side is 5 units.

Using SOHCAHTOA,

`\sin(D) = (opposite)/(hypotenuse)`

`\sin(D) = (5)/(13)`