Step-by-step explanation:
35+35+x=180 (sum of interior angles of an triangle is 180
therefore
x=180-70
x=110
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°,
⊥
, AP = 9, and PM = 16
² +
² =
²
=
+ PM = 9 + 16 = 25
= 25
² =
² +
² = 9² +
²
∴
² = 9² +
²
Similarly we get;
² = 16² +
²
Therefore, we get;
² +
² = 9² +
² + 16² +
² =
² = 25²
2·
² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From
² = 9² +
², we get
= √(9² + 12²) = 15
= 15
From,
² = 16² +
², we get;
= √(16² + 12²) = 20
= 20.
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

⇒
⇒
⇒
⇒
Thus, the length of altitude is: 12 cm.
Now, 
⇒
⇒
Also, 
⇒
⇒
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
We're told (5,-2) is on the line, that's x=5, y=-2
First one y-5 = -7, (x+2)/3=7/3, not equal
Second one y+5=3, (x-2)/3=1, not equal
Third one y+2=0, (x-5)/3=0, TRUE, equal
Fourth one, y-2=-4 (5+5)/3=10/3, not equal
Answer: third choice y+2 = (1/3)(x+5)