Doug C. answered • 03/07/23
Math Tutor with Reputation to make difficult concepts understandable
In a 30-60-90 right triangle the hypotenuse is twice the short leg (which is opposite the 30 degree angle) and the long leg is √3 time the short leg.
In this case you are given the hypotenuse is 10. So the short leg (y) must be 5. That means the long leg (x) is 5√3.
Now you have enough info to calculate the area.
A = 1/2 (5) (5√3) (in a right triangle, the legs are treated as the base and height).
A = 25√3/2
You can use √3≈1.732 and do the calculation manually or enter on a calculator to get the area to the nearest hundredth of a square inch.
Rihana A.
show your work too pls when you calculate the EXACT area in RADICAL TERMS too03/07/23
Doug C.
The exact area was given 25 sqrt(3) / 2 (this is the EXACT area)--in other words there is no decimal approximation used for sqrt(3). And the work was shown A = 1/2 BH = 1/2 (5) (5sqrt(3)), and to get the area to nearest hundredth you have to use your calculator to evaluate 25 sqrt(3) / 2 then round to nearest hundredth. Or you can do this manually if you know that sqrt(3) is approximately 1.732. Multiply 25 (1.732) then divide that result by 2.03/07/23
Rihana A.
I'm looking for the EXACT area, not just the area and what is the area to the nearest hundredth place in square inches?03/07/23