Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
The answer is A. 17 cm, 5 cm, 13 cm
For the triangle:
a+b > c
b+c > a
a+c > b
Check all choices:
<span>A. 17 cm, 5 cm, 13 cm
a = 17
b = 5
c = 13
17+5 = 22
22 > 13
5+13= 18
18 > 17
17+13=30
30>5
If you check other choices, you will see they are incorrect.</span>
<u>5x³ - 12x² + -7</u>
x²
Simplified answer.
Answer:
Option (B).
Step-by-step explanation:
Percentage change between two numbers a and b can be calculated by the formula,
% change = 
Where, (b - a) = Change in values
a = Initial value
If a = 16 and b = 20
Percentage change between 16 and 20 will be,
= 
= 
= 25%
If a = 20 and b = 16,
Percentage change = 
= 20%
Therefore, %change between 16 and 24 may be 16% or 20%.
Option (A),
= 25%
Option (B),
= 1.25 - 1 × 100
= 1.25 - 100
= -98.75%
Option (C),
= 25%
Option (D),
= 20%
Therefore, we can not use the calculation used in Option (B).