Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)
Answer:
sinθ = 5/13
cosθ = 12/13
tanθ = 5/12
Step-by-step explanation:
Get the remaining side(hypotenuse) first,
hypotenuse^2 = 12^2 + 5^2 (Pyth. theorem)
hypotenuse = 13
sinθ = 5/13
cosθ = 12/13
tanθ = 5/12
Answer:
SAS
Step-by-step explanation:
In triangle ABC and triangle EFD
1. BC = CD (S) Given
2. < BCD = < EFD (A) being vertically opposite. angles.
3. AC = CE (S) Given
Hence
By SAS postulate Triangle ABC and triangle EFD are congruent.
HOPE IT HELPS :)❤
Answer:
4 units
Step-by-step explanation:
The volume of a square pyramid is (a²)*h/3
256=a²*12/3
256=a²*4
256/4=a²
64=a²
a=8
Now we know that the square is 8 by 8.
The volume of a square prism is a²h
256=64h
256/64=h
h=4
Also, a square pyramid is 1/3 the volume of a square prism.
12÷3=4
