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:

<h3>METHOD 2:</h3>
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:

 
        
             
        
        
        
Answer:
   21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
   AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
   AD = AB²/AC = 10²/25
   AD = 4
Then the segment DC is ...
   DC = AC -AD = 25 -4
   DC = 21 . . . . . centimeters
 
        
             
        
        
        
Answer:
5,-1,-7
Step-by-step explanation:
 
        
             
        
        
        
Answer: 28.75° and 61.25°
Step-by-step explanation:
A complementary angle equals 90°.
Let the measure of the angle be a
Therefore, its complement will be: 
= 90-a.
The complement of an angle is 25 less than 3 times the angles itself can be written as:
90-a = 3a - 25
90 + 25 = 3a + a
115 = 4a
a = 115/4
a= 28.75
Since the angle is 28.75°, the complement will be:
= 90° - 28.75°
= 61.25°
The angles are 28.75° and 61.25°
 
        
             
        
        
        
Good morning,
Answer:
(4 , 0)
Step-by-step explanation:
THe vertex of y = (x - 4)² is (4,0).
Look at the photo below for the graph.
:)