Answer: The height of the triangle is: " 3.5 cm " .
_______________________________________________________
<u>
Note</u>: The formula/equation for the area, "A" , of a triangle is:
A = (1/2) * b * h ; or write as: A = (b * h) / 2 ;
_________________________________________________
in which: "A = area of the triangle" ;
"b = base length" ;
"h = "[perpendicular] height" ;
_________________________________________________
Given: h = (b/2) ;
A = 12.25 cm²
{Note: Let us assume that the given area was "12.25 cm² " .}.
_________________________________________________
We are to find the height, "h" ;
The formula for the Area, "A", is: A = (b * h) / 2 ;
Let us rearrange the formula ;
to isolate the "h" (height) on one side of the equation;
→ Multiply EACH side of the equation by "2" ; to eliminate the "fraction" ;
2*A = [ (b * h) / 2 ] * 2 ;
to get: " 2A = b * h " ;
↔ " b * h = 2A " ;
Divide EACH SIDE of the equation by "b" ; to isolate "h" on one side of the equation:
→ (b * h) / b = (2A) / b ;
to get:
→ h = 2A / b ;
Since "h = b/2" ; subtitute "b/2" for "h" ;
Plug in: "12.25 cm² " for "A" ;
→ b/2 = 2A/b ; → Note: " 2A/b = [2* (12.25 cm²) ] / b " ;
Note: " 2* (12.25 cm²) = 24.5 cm² ;
Rewrite as:
→ b/2 = (24.5 cm²) / b ;
_____________________________________
Cross-multiply: b*b = (24.5 cm²) *2 ;
to get: b² = 49 cm² ;
Take the "positive square root" of each side of the equation" ;
to isolate "b" on one side of the equation ; & to solve for "b" ;
→ +√(b²) = +√(49 cm²) ;
→ b = 7 cm ;
Now, we want to solve for "h" (the height) :
_________________________________________________________
→ h = b / 2 = 7 cm / 2 = 3.5 cm ;
_________________________________________________________
Answer: The height of the triangle is: " 3.5 cm <span>" .
</span>_________________________________________________________
Answer:
Um... u have no picture so we can't answer.
Step-by-step explanation:
Answer:
To identify which integer does not belong with the rest, we must first evaluate each.
Step-by-step explanation:
- [25.6...] is already evaluated. Therefore, let's move on to Integer <em>b: </em>
, where is <em>x </em>is 48.
- 48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3
- √48 =
* 2 * 2 * 2 * 3
- We have 1 perfect sqaure: * 2
- When we multiply, we receive 2.
- Therefore, 2 *
- When -51/2 is relatively prime, we receive -25 1/2
- Finally, the last integer is already simplified.
Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.
I don't know use a calculator
