Solve for x. Thank you

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

First, label the vertices figure as shown below.

In triangle ABC and DBA,

        (Right triangles)

        (Common angle)

        (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional.

Substituting the given values from the below figure, we get

Therefore, the value of x is 16 and correct option is B.

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.

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+

25.45584