Answer:
98
2 x 49
7 x 7
2 x 7 x 7
Step-by-step explanation:
The ratios of sides in a 30°-60°-90° triangle are such that the hypotenuse (AB) is double the length of the shortest side (AC). In your triangle, AC is the hypotenuse of similar triangle ACD, which has AD as its shortest side.
Then
... (1/2)×(AD+54) = AC
... (1/2)×AC = AD
Together, these tell you
... AD = (1/4)(AD +54)
... 3×AD = 54
... AD = 18
Answer:
672.
Step-by-step explanation:
First find the prime factors:
112 = 2*2*2*2*7
96 = 2*2*2*2*2*3
There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7
= 672 (answer).
Note: the duplicates only appear once in the calculation of the LCM.
