Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.
Let AB = 3k, BC = 4k and CA = 6k.
Then perimeter =3k+4k+6k = 13k
M, N, K are mid points of the sides.
By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2
Hence perimeter of MNK = 13k/2 =5.2 (given)
Solve for k
k=2(5.2)/13 = 0.8
Hence sides are
AB = 3k = 3(0.8) = 2.4 in
BC = 4k= 3.2 in
CA = 4.8 in
Answer:
Step-by-step explanation:
The side opposite to greatest angle is longer
Angles in descending order, ∠B > ∠C > ∠A
Sides, CA > BA > BC
Answer:
18
Step-by-step explanation:
30-60-90 triangles have a set of x values that you can plug your numbers into.
we know that the side length opposite to 30 is x
the side length opposite to 60 is xsqrt3
the side length opposite to 90 is 2x
from this we can gather that y=2x where x=9 therefore y=18
Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a = 
U would replace x with 0 in the equation and solve and then do the same but with y and those are ur x and y values of ur point
Ex: 2x+5y=15
2(0) +5y=15
5y=15
Y=3
2x+5(0)=15
2x=15
X=7.5
So ur point would be (7.5,3)