30-60-90 Right Triangle: Side Ratios
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- A special type of right triangle is the 303030-606060-909090 right triangle. As you can tell from the name of the triangle, this right triangle has interior angles of 30∘30^{\ci…
By Catherine Yeo, Victor Wang, Victor Wang
- (Video) 303030-606060-909090 Triangles In the video below, Richard Rusczyk and, uh, Harvey show you how to find the legs of a 303030-606060-909090 triangle. Spoiler alert: you c…
By Zora Gilbert
Problems 15
- A board 646464 inches long and 444 inches thick is inclined so that the long side of the board makes a 303030 degree angle with the ground. The distance from the ground to the h…
- Two distinct points AAA and BBB are chosen at random from 15 points equally spaced around a circle centered at OOO such that each pair of points AAA and BBB has the same probabi…
- There is a right triangle with length of base 3 cm3\text{ cm}3 cm and height 4 cm.4\text{ cm}.4 cm. Find the length of half of the longest side of the triangle.
- You have traveled west on the Oregon Trail, survived dysentery, and have staked your claim on a new plot of land. You have 4 miles of fence which you can put in any shape you'd …
- In the above figure, what is the measure of c? Round to the nearest hundredth.
- In the above figure, what is the measure of d? Round to the nearest hundredth.
- ABCABCABC is a 30−60−9030-60-9030−60−90 Right Triangle where A=(0,0)A = (0, 0)A=(0,0) and B=(4,0)B = (4, 0)B=(4,0). Given that m∠ABC=60∘m\angle ABC = 60^{\circ}m∠ABC=60∘, which …
- If we know the length of one side of a 30−60−9030-60-9030−60−90 right triangle, but we don't know whether this side is a leg or the hypotenuse, is this enough information to fin…
- If a 30−60−9030-60-9030−60−90 right triangle has a perimeter of 22,22,22, what is the length of the shortest side of the triangle?
- If a 30−60−9030-60-9030−60−90 right triangle has a perimeter of 22,22,22, what is the length of the hypotenuse of the triangle?
- We have two 30−60−9030-60-9030−60−90 right triangles, ABCABCABC and DEFDEFDEF. The hypotenuse of ABCABCABC is the same length as the shortest side of DEFDEFDEF. What is the rati…
- Let XXX be the hypotenuse of the triangle formed by the three intersecting lines. What is the measure of X?X?X?
- Triangles BARBARBAR and BAEBAEBAE share the hypotenuse BA.BA.BA. BARBARBAR is a 45−45−9045-45-9045−45−90 right triangle, while BAEBAEBAE is a 30−60−9030-60-9030−60−90 right tria…
- Triangles BARBARBAR and BAEBAEBAE share the hypotenuse BA.BA.BA. BARBARBAR is a 45−45−9045-45-9045−45−90 right triangle, while BAEBAEBAE is a 30−60−9030-60-9030−60−90 right tria…
- Triangles BARBARBAR and BAEBAEBAE share the hypotenuse BA.BA.BA. BARBARBAR is a 45−45−9045-45-9045−45−90 right triangle, while BAEBAEBAE is a 30−60−9030-60-9030−60−90 right tria…