How to find the area only of a triangle
1 answer:
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Option A:
The shortest distance Mark can cover to reach home early is 54.7 miles.
Solution:
Towards North = 35 miles
Towards West = 42 miles
Using Pythagoras theorem,
<em>In right triangle, squares of the hypotenuse is equal to the sum of the squares of the other two sides.</em>
Let x be the hypotenuse.
Taking square root on both sides, we get
x = 54.67
x = 54.7
The shortest distance Mark can cover to reach home early is 54.7 miles.
Option A is the correct answer.
Answer:
Part A)
Part B)
Step-by-step explanation:
We know that the rectangle has a length of (x+5) and a width of 12 cm.
Part A)
Remember the formula for the perimeter of a rectangle:
We know that the perimeter is 86. Substitute that for P:
Substitute (x+5) for the length l and 17 for w. So:
We can simplify this to acquire our equation:
Part B)
To find the length, let's find our x first. We have the equation:
Divide both sides by 2:
Now, subtract 22 from both sides. Therefore, our x is:
To find the length, remember that the length is:
Since we now know the value of x, substitute 21 for x:
Add:
So, the length is 26 centimeters.
And we're done!