Find the length of the hypotenuse of a right triangle with a base of [tex]Y = 6 \, \text{m}[/tex] and an area of [tex]36 \, \text{m}^2[/tex].
Answer (2)
l e g : y = 6 \m , l e g : y = ? h y p o t e n u se : c = ? P = 36 m 2 P = 2 1 x y 36 = 2 1 1 ∗ x ∗ 6 3 3 x = 36 / : 3 x = 12 m
h y p o t e n u se : c 2 = x 2 + y 2 c 2 = 1 2 2 + 6 2 c 2 = 144 + 36 c 2 = 180 c = 180 c = 36 ∗ 5 c = 6 5 m A n s w er : t h e l e n g t h o f t h e h y p o t e n u seo f a r i g h tt r ian g l e i s : 6 5 m
The length of the hypotenuse of the right triangle is 6 5 m . This was calculated using the area of the triangle and applying the Pythagorean theorem. The base is 6 m and the height is 12 m .
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