We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
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Answer:
h = 48
because 32 + 3h + 4 = 180
32 + 4 = 36
36 + 3h - 36 = 180 - 36
3h = 144
3h/3 = 144/3
h = 48
Answer:
Step-by-step explanation:
We have been given an expression 
. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form 
.
To convert our given expression into perfect square trinomial, we need to add and subtract 
from our given expression.
We can see that value of b is 11, so we need to add and subtract 
to our expression as:
Upon comparing our expression with 
, we can see that 
, 
and 
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .
