Question

Which equation could be used to find the length of the hypotenuse?

Answer 1

`c^2=5^2+2^2`

Equation (1) is used to find the length of hypotenuse.

Explanation:

Given: A right angled triangle ABC with base 5 ft and perpendicular 2 ft

we have to find the equation that can be used to find the length of hypotenuse.

Consider the given triangle ABC,

PYTHAGORAS THEOREM states that in a right angled triangle the square of hypotenuse is equal to the sum of square of perpendicular and base.

That is
`H^2=B^2+P^2`

Here, B is base

and P is perpendicular.

Put base 5 ft and perpendicular 2 ft and hypotenuse c, we get,

`c^2=5^2+2^2`

Thus, Equation (1) is used to find the length of hypotenuse.

Answer 2

2^2 +5^2 = c^2

Explanation:

We can use the Pythagorean theorem to solve for c

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

2^2 +5^2 = c^2

4+25 = c^2

29 =c^2