Geometry Construction and Calculation Problem
Published:
1° Draw a triangle $SOL$ right at $O$ and such that $\widehat{SLO} = 40^{\circ}$ and $SL = 4\text{ cm}$.
2° Calculate $\widehat{LSO}$.
3° Draw the height $[OH]$. Calculate $\widehat{SOH}$.
Animated Video Solution
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Step by Step Written Solution
Hi Matjar., let's solve this geometry problem together. We'll start by drawing triangle SOL and finding the unknown angles.
Geometry: Right Triangle SOL
First, we visualize a right triangle at O. The angle at L is given as forty degrees, and the hypotenuse SL is four centimeters.
Part two asks us to calculate the measure of angle LSO.
Part 2: Calculate Angle LSO
Since it's a right triangle, the sum of all angles must be one hundred and eighty degrees. Angle O is ninety degrees and Angle L is forty degrees.
We substitute the known values into our sum equation.
Forty plus ninety is one hundred and thirty. Subtracting that from one hundred and eighty gives us the result.
So, angle L S O equals fifty degrees.
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