Answer:
(a√3)/2
Step-by-step explanation:
You can find the height (h) of a equilateral triangle any of several ways. A simple one is to use the Pythagorean theorem.
In the diagram below, h is one leg of the right triangle with a/2 as the other leg and a as the hypotenuse. The Pythagorean theorem gives the relationship as ...
h² + (a/2)² = a²
h² = a² - a²/4 . . . . . . . subtract (a/2)²
h² = a²(1 -1/4) = a²(3/4)
h = √(a²(3/4)) = (a/2)√3
The height is (√3)/2 times the side length.
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and
<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting in the equation
, we get;
Simplifying, we get;
Thus, the values of x are x = 1,-7
When x = 1 , the equation becomes
When x = -7, the equation becomes
Therefore, the two numbers are 1 and -7
-
=
*
-
= 9(
) - 1(
) = 8(
)
-
=
⇒ 8() =
⇒ =
<em>multiplied both sides by 8</em>
⇒ =
⇒ = 3⁻²
⇒ x = -2
Answer: x = -2