Question

What is the length of leg S of the triangle below?

Answer 1

By pyythagarous theorem
(√72)²=6²+s²
72=36+s²
s²=72-36
s²=36
s=6

Answer 2

Option E is correct

value of s is, 6 units

Explanation:

Using Pythagoras theorem in right angle triangle:

`\text{Hypotenuse side}^2=\text{Opposite side}^2+\text{Adjacent side}^2`

As per the statement:

In a given right angle triangle:

Hypotenuse side =
`√(72)` units

opposite side = 6 units

Adjacent side = s units

Solve for s;

Apply the Pythagoras theorem to the given triangle we have;

`(√(72))^2 = 6^2+s^2`

⇒
`72=36+s^2`

Subtract 36 from both sides we have;

`36 = s^2`

or

`s^2 = 36`

Since, side cannot be in negative

⇒
`s = √(36) = 6` units

Therefore, the value of s is, 6 units