What is the sum of all of the odd numbers from 1 to 59? 841 900 3,481 3,600
1 answer:
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ABC is not a right angled triangle
<em><u>Solution:</u></em>
Given that, Triangle ABC has perimeter 18 cm
AB = 7 cm
BC = 3 cm
We have to find whether ABC is a right angled triangle
Let the sides of triangle be AB, BC, AC
<em><u>Perimeter of triangle is given by formula:</u></em>
perimeter = sum of length of all three sides of triangle
18 = AB + BC + AC
18 = 7 + 3 + AC
AC = 18 - 10
AC = 8
Thus the length of sides of triangle are:
AB = 7 cm
BC = 3 cm
AC = 8 cm
For a triangle to be right angle, it must satisfy the pythagoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
The longest side of triangle is hypotenuse
Therefore, AC = 8 cm is the hypotenuse
Thus by above theorem we get,
Substituting the values we get,
Thus the pythagoras theorem is not satisfied
Thus ABC is not a right angled triangle
Answer:
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>
Step-by-step explanation:
Given vectors are:
u = <5,1>
v = <6,2>
The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs
Now,
Now we have to add two vectors
In order to add two vectors, their respective coordinates are added:
So,
And
Hence,
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>