<span>6b^2=-10+18
12 = - 10 + 18
12 = 8
not true</span>
Answer:
b=−1
Step-by-step explanation:
Answer:
The length of the hypotenuse of this triangle is 150√2 mm.
Step-by-step explanation:
Consider the square ABCD shown in the image below.
The sides are 150 mm each.
All the angles of a square are 90°.
Now The square is folded in half along the diagonal BD.
The angles A, B and D are: 45°, 45° and 90°.
The hypotenuse of the right angled triangle is BD.
Compute the length of BD using the pythagoras theorem as follows:
![BD^{2}=AB^{2}+AD^{2}\\=150^{2}+150^{2}\\=2\times 150^{2}\\BD=\sqrt{2\times 150^{2}}\\=150\sqrt{2}](https://tex.z-dn.net/?f=BD%5E%7B2%7D%3DAB%5E%7B2%7D%2BAD%5E%7B2%7D%5C%5C%3D150%5E%7B2%7D%2B150%5E%7B2%7D%5C%5C%3D2%5Ctimes%20150%5E%7B2%7D%5C%5CBD%3D%5Csqrt%7B2%5Ctimes%20150%5E%7B2%7D%7D%5C%5C%3D150%5Csqrt%7B2%7D)
Thus, the length of the hypotenuse of this triangle is 150√2 mm.