(answer + 10 )

rhonda and matt are pushing a crate across the floor of a warehouse. rhonda applies a force of 297 newtons (n), while matt applies a force of 394 n in a direction that is perpendicular to rhonda's. the sum of these forces corresponds to the length of the hypotenuse of a triangle in the force diagram, as shown in the figure. what is the approximate total force, f?

a. 97 newtons

b. 259 newtons

c. 493 newtons

d. 691 newtons

C. 493 newtons

Step-by-step explanation:

In the given picture, we have a right triangle in which the side opposite to the right angle is F (Hypotenuse of the right angle).

The other two sides are of 297 N and 394 N.

We know that Pythagoras theorem says that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Now by Pythagoras theorem we have,

Hence, the approximate total force, F = 493 N.

a. -0.3 > -0.33

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584