Question

The legs of a right to
have lengths of 4 and 5 units. Find the length of the hypotenuse
3
3.5
6.4

Answer 1

Answer:

√ 41 (or  6.40 in decimal form)

Step-by-step explanation:

By Pythagorean theorem,

for a right triangle with sides a and b and hypotenuse h, the following formula is true:

a² + b²  = h²

or

h = √ (a² + b²).

in this case, it is given that a and b are 4 and 5 units respectively

hence

h = √ (4² + 5²) = √ (16 + 25) = √ 41 = 6.40

Answer 2

Answer: last option.

Step-by-step explanation:

You need to apply the Pythagorean Theorem, which states that:

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

Where "a" is the hypotenuse of the right triangle and "b" and "c" are the legs of the right triangle.

Knowing that the legs of this right triangle have lengths of 4 units and 5 units, you can solve for the hypotenuse "a".

Then:

$a^2=(4units)^2+(5units)^2\\\\a=\sqrt{(4units)^2+(5units)^2}\\\\a=6.4units$