Answer:
1. a) the square root of 20
2. d) the square root of 52
Step-by-step explanation:
we can use the formula of pythagoras' theorem, which is a² + b² = c² (with c being the hypotenuse of a right-angled triangle while a and b are its other two sides), to solve these questions.
for the first question, we can place the given values into the equation to get 4² + b² = 6², with b being the unknown here. b is thus equivalent to 6² - 4², or √20.
for the second question, we can get 4² + 6² = c², which is the unknown value in this question. it would be √52.
i hope this helps! :D