Question

the leg of a right triangle is 5 units and the hypotenuse is 8 units.what is the length in units of the other leg of the triangle

Answer 1

Using the Pythagorean Theorem, we can figure out the missing leg.

If you don't know, the Pythagorean Theorem states that for any right triangle the sum of the squares of both of the legs is equals to the hypotenuse.

$a^2 + b^2 = c^2$

Where the variables a and b are the legs and c is the hypotenuse.

The variables a and b are interchangeable but not c.

Plug in the values that we know.

$5^2 + b^2 = 8^2$
$25 + b^2 = 64$
$b^2 = 39$
$b = \sqrt{39}$

So, the other leg is equal to the square root of 39 units.

Answer 2

The square of the hypotenuse is equal to the sum of the square of other two sides. The length in units of the other leg of the triangle is 6.2 units

What is Pythagoras theorem?

The square of the hypotenuse is equal to the sum of the square of the other two sides.

Mathematically;

l^2 = a^2 + b^2

Given

l = 8 units

a = 5 units

Substitute

8^2 = 5^2 + b^2

64 - 25 = b^2

b^2 = 6.2units

Hence the length in units of the other leg of the triangle is 6.2 units

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