Question

Explain why angle d must be a right anglePls help​

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides.

Consider the right triangle on the right and calculate n

n² + 2² = 3²

n² + 4 = 9 ( subtract 4 from both sides )

n² = 5 ( take the square root of both sides )

n = $\sqrt{5}$

If the triangle on the left is right then the square of the longest side must equal the sum of the squares on the other 2 sides.

The longest side is n = $\sqrt{5}$ ⇒ n² = ($\sqrt{5}$ )² = 5 and

($\sqrt{2}$ )² + ($\sqrt{3}$ )² = 2 + 3 = 5

Hence D is a right angle