145k views
2 votes
What is the length of leg S of the triangle below?

What is the length of leg S of the triangle below?-example-1
User Vil
by
7.0k points

2 Answers

2 votes
By pyythagarous theorem
(√72)²=6²+s²
72=36+s²
s²=72-36
s²=36
s=6
User Danfromisrael
by
7.4k points
7 votes

Answer:

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

User Basilikum
by
6.4k points