30 60 90 triangle lengths


Asked by maham237 @ in Mathematics viewed by 289 People


The length of the side opposite the 30 degree angle of a 30-60-90 is 323 ft. Determine the lengths of the other sides.

Answered by maham237 @



Answer:

With a 30-60-90 triangle, you can find the length of all three sides, even if you only know one. The length of the shortest side (opposite the 30 angle) is always half the length of the hypotenuse. Use this formula to find the third side a^{2} + b^{2} = c^{2}


The sides are 323, 646, 722.25

Step-by-step explanation:

323*2=646

we now know two sides, use this formula to find the third.

a^{2} + b^{2} = c^{2}

323^{2} + 646^{2} = c^{2}

104329 + 4171316 = c^{2}

521645 = c^{2}

\sqrt{521645} = c

722.25 = c


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