Please help me! Explain how to find the value of x. Be sure to include the postulates, definitions, and theorems that justify your answer.

x = 12

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

The 2 triangles are similar to the outside triangle and to each other, that is

Δ RQT ~ ΔSRT

Since the triangles are similar then the ratios of corresponding sides are equal, that is

= , substitute values

= ( cross- multiply )

x² = 144 ( take the square root of both sides )

x = = 12

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation:

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130