First find the value or (DEA)
For this you will have to use the Pythagorean theory,
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%2B%20%7Bb%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D%20)
C is mainly the hypotenuse,
Meaning you either want to find A or B,
Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,
Then 16 will be A or B, in this case it will be A,
To find a you must first move A to the other side by doing the opposite,
![{b}^{2} = {c}^{2} - {a}^{2}](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D%20-%20%7Ba%7D%5E%7B2%7D%20)
Now plug in the values,
![{b}^{2} = {20}^{2} - {16}^{2}](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%3D%20%7B20%7D%5E%7B2%7D%20-%20%7B16%7D%5E%7B2%7D%20)
![{b}^{2} = 400 - 256](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%3D%20400%20-%20256)
![{b}^{2} = 144](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%3D%20144)
Now just find the square root of both factors,
![\sqrt{ {b}^{2} } = \sqrt{12}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7Bb%7D%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B12%7D%20)
The value of (DEA) is,
![b = 12](https://tex.z-dn.net/?f=b%20%3D%2012)
Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,
![{a}^{2} = {c}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D%20-%20%7Bb%7D%5E%7B2%7D%20)
Now plug in the value
![{a}^{2} = {10}^{2} - {6}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%3D%20%7B10%7D%5E%7B2%7D%20-%20%7B6%7D%5E%7B2%7D%20)
![{a}^{2} = 100 - 36](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%3D%20100%20-%2036)
![{a}^{2} = 64](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%3D%2064)
Now find the square root of both factors,
![\sqrt{ {a}^{2} } = \sqrt{64}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B64%7D%20)
![a = 8](https://tex.z-dn.net/?f=a%20%3D%208)
The value of (d) is (8)
Hope this helped
:D
Answer:
i don't know this one!
Step-by-step explanation:
sorry!
Answer:
21
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
21 + 9 = 30
Because it is greater, larger numbers are on the right of the number line...