The area of the triangle is
a=( m x n) /2 in cm² , implies 2xa = m xn
the area of the rectanglle
A= n x m in cm²
but we know <span> 2xa = m xn = A, </span>
that means the surface of the rectangle is 2 times of the area of the triangle
Answer:
48 Units
Step-by-step explanation:
Use the Pythagorean theorem to make two right triangles.
Ex= Base is cut in half to make two 9 unit bases
Then count the units from the half point.
Ex= 12 units long
Then use Pythagorean theorem to find one side of the 9-12 right triangle
Ex= 9^2+12^2=c^2
After finding that c=15 units, add all the sides back together
Ex= 18+15+15=48
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'
so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out
so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11
11x+5
11(5)+5
55+5=60
side b=60
12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
ANSWER: Well I say that your probability is low. 1/12
