Answer:
Hi there!
The correct answer is: 20
Step-by-step explanation:
knowing this a right triangle you can solve this problem in two ways
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then plug in the values
(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2
square root both sides and you get c = 20
Method Two: Pythagorean Identities
if you ever learned the Pythagorean identity 3,4,5
this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4
so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20
Answer: The pattern of the sequence is to subtract 11 from the last number.
Step-by-step explanation: The next two terms of the sequence are 55 and 44.
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely
and 
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of
that is,

Option (c) does not give the correct value of 
Answer:
Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
Step-by-step explanation:
Consecutive numbers are numbers having each number is one more than the previous number. like consecutive number of 2 is 3 .
We have to four consecutive integers whose sum is 114.
Let integers be in the form x , (x+1) , (x+2) , (x+3)
Given : Sum of integers be 114.
thus, x + (x+1) + (x+2) + (x+3) = 114
⇒ 4x +6 = 114
⇒ 4x = 114 -6
⇒ 4x = 108
⇒
⇒ x = 27
Thus, integers are,
x = 27
(x+1) = 27 + 1 = 28
(x+2) = 27 +2 = 29
(x+3) = 27 +3 = 30
Thus, four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
Answer:
CAN NOT
Step-by-step explanation:
The rule is that for three sides (say a, b, c) to firm a triangle, the sum of any two side must be greater than the third side.
Since 10+3 < 19, a triangle can not be formed