Rhonda is drawing a 3-inch square inside an isosceles triangle with two side lengths measuring 7 inches and 14 inches. Which of the following is the length of the third side of the triangle? A) 7 in.
B) 9 in.
C) 12 in.
D) 14 in.

7

Step-by-step explanation:

I just need to type more or my answer gets auto delete but yeah it is 7

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west