Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter
1 answer:
The perimeter of the triangle = 60 cm
Solution:
The given triangle is a right triangle.
Base of the triangle = 15 cm
Hypotenuse = 25 cm
Let the unknown side of the triangle be x.
Using Pythagoras theorem,
<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>
Subtract 225 from both sides,
Taking square root on both sides, we get
x = 20
The unknown side of the triangle is 20 cm.
The perimeter of the triangle = Sum of the sides of the triangle
= 15 cm + 25 cm + 20 cm
= 60 cm
The perimeter of the triangle = 60 cm
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Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
Using distributive property on LHS (i.e, )
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
Simplify:
x =13
Therefore, the original number x is, 13