C
A million apologies if I’m incorrect
A) area of square = base*height/////Triangle= 0.5*base*height
=(a^1/3*b^3/4)*(a^2/3*b^1/2)+(1/2*a^1/3*b^3/4*a^2/3*b^1/4)
=(a^1*b^5/4)+(1/2*a^1*b^1)
=(a*b^5/4)+(1/2*a*b)
B) a^2+b^2=c^2 (pythagorean theorem)
((27^2/3)*(16^1/4))^2 + (27^1/3)*(16^3/4)
(9*2=(18^2))=324 + (3*8= 24^2)= 576
324+576= 900
(900)^1/2= 30
hypotenuse= 30
C)( a^2/3*b^1/2)= 36*2(two sides)= 72
(a^1/3b^3/4)=24
(a^2/3*b^1/4)= 18
72+24+18+30(hypotenuse)= 144=perimeter
A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)
b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)
c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)
d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)
hope this helps!!
Answer:
Hence - 7 is the answer
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