Answer:
40.2 Yards
Step-by-step explanation:
To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:
c²= a² + b²
a = 36 Yards
b = 18 Yards
Now let's plug in our values to the formula.
c² = a² + b²
c² = 36² + 18²
c² = 1296 + 324
c² = 1620
Now to find the value of c we need to get the square root of both sides.
c = 40.2
So the diagonal length of Mr. Richard's orchard is 40.2 Yards.
Answer:
<h2>54m²</h2>Step-by-step explanation:
<h3>METHOD 1:</h3>You can use the Heron's formula:
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
Calculate:
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
Check:
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
<em>a, b</em><em> - legs</em>
Substitute: