Please help
Find the value of x. Your answer must be
Exact

Step-by-step explanation:

Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:

Insert the values:

Multiply both sides by x:

Divide both sides by sin30°:

Insert the value of x into a calculator:

OR:

The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:

The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:

Therefore, the value of x is 8.

:Done

in 4 days he will run   12/14

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

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+

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