Question

The delivery ramp at the corner cafe id a right triangle. The hypotenuse is 4 meters long. One leg is 3 meters long. What is the length of the other leg

f. sqrt 7 meters
g. sqrt 12 meters
h. 3.5 meters
j. 5 meters

Answer 1

f. sqrt 7 meters

Explanation:

we use Pythagoras' theorem here,

let the unknown side be x,

therefore,

=> 3² + x² = 4²

=> x² = 16 - 9

=> x = √7 m

Answer 2

f. sqrt 7 meters

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem to solve. We know the hypotenuse is 4 and one leg is 3. We want to solve for the other leg.

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

Substituting into the equation

3^2 + b^2 = 4^2

9+b^2 = 16

Subtracting 9 from each side

9-9+b^2 = 16-9

b^2 =7

Taking the square root of each side

sqrt(b^2) = sqrt(7)

b = sqrt(7) meters