Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' theorem, that is
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Using x instead of ?
(a)
The hypotenuse is the side opposite the right angle, that is 74, thus
24² + x² = 74²
576 + x² = 5476 ( subtract 576 from both sides )
x² = 4900 ( take the square root of both sides )
=
x = 70
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(b)
The hypotenuse x is the unknown side here
x² = 40² + 40² = 1600 + 1600 = 3200
Take the square root of both sides
=
≈ 56.6 ( nearest tenth )