The sides are in the ratio 1 : 1 : sqrt2 where sqrt 2 = hypotenuse
so if the length of one of the legs is 2 cm the hypotenuse will be of length 2 *sqrt 2 cms.
b ) sin 45 = 1 / sqrt2 = sqrt2 / 2
c) if the 2 legs of triangle are both 2 cms area will be 1/2* 2* 2
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],




Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
Question
2,4,8,16 recursive form
Answer:
The first term is 2, and each term after that is twice the previous term, so the equations are:
a sub1 = 2
a sub n = 2a sub n-1, for n>1
Answer:
1) 35
Step-by-step explanation:
1. First, you have to realize that a straight line is 180 degrees.
Why is this important to know? Well you know that all angles of a triangle added up together HAS to equal 180, it'll be a straight line
2. Add 40 and 105, this gives you 145.
3. Subtract 145 from 180, and you should get 35, which is x.
You can check this by adding 40, 105, and 35 together.