15. 10 cm, 10 cm, V200 cm : Right Angled Triangle
16. 9 in., 16 in., 25 in. : Not a right angled triangle
Step-by-step explanation:
In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.
So
<u>15. 10 cm, 10 cm, V200 cm</u>
<u>The triangle is a right angled triangle.</u>
<u>16. 9 in., 16 in., 25 in.</u>
Here
a = 9 in
b=16 in
c=25 in
So,
<u>The given triangle is not a right angled triangle.</u>
Keywords: Triangle, Right angled Triangle
Learn more about triangle at:
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Answer:
1. x=20 ; the angles are 90 degrees31 degrees 59 degrees
2. x=16; the angles are 16 degrees 92 degrees 72 degrees
Step-by-step explanation:
1. 180=90+31+(3x-1)
180-90-31=3x-1
59=3x-1
60=3x
x=20
plug in x for the third angle
2. 180= x+5x-8+3x+44
180=9x+36
180-36=9x
144=9x
x=16
plug in x to all the angles to find the real value
Answer:
MN = 12 units
NP = 16 units
PM = 20 units
Step-by-step explanation:
You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)
MN and NP will be a and b.
Example: 12^2 + 16^2 = c^2
Simplify.
Example:
144 + 256 = c^2
144 + 256 = 400
Then find the square root of 400 which is 20.
To check your work put all of the sides into the formula and it should be true.
Answer:178.71696m^3
Step-by-step explanation:
To find the volume of cone=1/3πr2h
To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.
7^2=h^2+3^2
h^2=49-9
h=√40
h=6.32m
V=1/3×3.142×3m×3m×6.32m
Therefore our answer is;
V=178.71696m^3
Step-by-step explanation:
Using pythagoras theorem
9^2 - 6^2 = x^2
Therefore X^2 = 81 - 36
= 45
Thus X = √45
X = 6.71
