(ugsygygsgag I’m struggling) Find the value of x in the isosceles triangle shown below

Option B. x = 13

Step-by-step explanation:

In this question, we shall give a separate diagram which will help us to further understand the question.

Please see attached photo for further details.

To find the value of x we shall use the pythagoras theory as illustrated below:

x is the longest side Therefore,

x² = 12² + 5²

x² = 144 + 25

x² = 169

Take the square root of both side

x = √169

x = 13

Therefore, the value of x 13.

geometry: triangles

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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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