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Find the lengths of the missing sides in the triangle. Round to the nearest tenth. The diagram is not to scale. (BOTH X AND Y)

Find the lengths of the missing sides in the triangle Round to the nearest tenth The diagram is not to scale BOTH X AND Y class=


Answer :

olumideolawoyin

Answer:

x = 13

y = 18.4

Step-by-step explanation:

Reference to angle 45°,

Opposite side = x

Adjacent side = 13

Hypotenuse side = y

Using Trigonometric ratio,

tan 45° = x / 13

x = 13 tan45°

x = 13

Using Pythagoras' Theorem,

hypotenuse^2 = Opposite^2 + Adjacent^2

y^2 = 13^2 + 13^2

y^2 = 169 + 169

y^2 = 338

Take square roots of both sides

y = √338

y = 18.3848

y = 18.4