1 answer:
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
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