Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
Answer:
C
Step-by-step explanation:
The perimeter of a triangle is given by:
Perimeter = sum of three sides
We are given perimeter = 112 in.
Hypotenuse = 50 in.
Let us say the other two sides are a and b.
So , we have


...............(2)
In a right angle triangle we can apply pythagorean theorem,
a² + b² = c²
here c is hypotenuse which is 50 in.
a²+b² = 50²
a²+b² = 2500............(2)
Plugging the value of a from equation (1) in (2)



Factorising ,

So we have two values of b
b=14 and b=48
If b=14, a=48
If b=48, a=14
Answer: The shorter leg will be 14 inches.