180-70-30=80
The answer is 80
The two triangles are the same.
Corresponding angles of congruent triangles are equal.
A triangle's three angles add up to 180 degrees.
Answer:
see picture below
Step-by-step explanation:
Answer:
Step-by-step explanation:
It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...
AC^2 = AB^2 + CB^2
AC^2 = 4^2 + 3^2 = 16 + 9 = 25
AC = √25 = 5
The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...
scale factor ∆ABC to ∆AHB = AB/AC = 4/5 = 0.8
And the scale factor to ∆BHC is ...
scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6
Then the side AH is 0.8·AB = 0.8·4 = 3.2
And the side CH is 0.6·BC = 0.6·3 = 1.8
These two side lengths should add to the length AC = 5, and they do.
The remaining side BH can be found from either scale factor:
BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4
_____
The sides of interest are ...
AH = 3.2
CH = 1.8
BH = 2.4
Answer:
sqrt(50)
Step-by-step explanation:
Since it is a right triangle, we can apply the Pythagorem Theorem.
a^2 + b^2 = c^2
25 + 25 = c^2
50 = c^2
c = sqrt(50)
Hello!
The answer is z = 16..
Solve it like this..
#1) Regroup terms
-3 = -7+z/4 ---> -3 = z/4 - 7
#2) Add 7 to both sides.
-3 = z/4 - 7 ---> -3 + 7 = z/4
#3) Do the addition.
-3 + 7 = z/4 ---> 4 = z/4
#4) Multiply both sides by 4.
4 = z/4 ---> 4 * 4 = z.
#5) Do the multiplication.
4 * 4 = z ---> 16 = z
Hope this helps! ☺♥