Answer: (-9,-1)
Step-by-step explanation:
Answer:
∠ H = ∠ J = ∠N = ∠ M
Step-by-step explanation:
Triangle MNP is similar to triangle HJK and both triangles are isosceles triangles.
If the angle P is greater than 90 degrees, then angles M and N are the equal angles of the isosceles triangle MNP.
Hence, angle M = angle N
Now, as Δ MNP and Δ HJK are similar so, ∠ M = ∠ H, ∠ N = ∠ J, and ∠ P = ∠K
Again ∠ H = ∠ J as Δ HJK is isosceles.
Therefore, ∠ H = ∠ J = ∠N = ∠ M (Answer)
Answer:
Step-by-step explanation:
let the smaller square be A, and the side is a
larger square is B, the side is a+3
Area(A)=a^2
Area(B)=(a+3)^2
a^2+(a+3)^2=425 in^2
a^2+a^2+6a+9=425
2a^2+6a=425-9
2(a^2+3a)=416 we divide by 2
a^2+3a=208
we solve the quadratic function
we will get two roots, a(1)=13, and the negative answer we will ignore
a=13 and the side of the larger square is 13+3=16
