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SLV is a 45°-45°-90° triangle with leg SV. If SV = m, determine the length ofthe other leg and the hypotenuse.

SLV Is A 454590 Triangle With Leg SV If SV M Determine The Length Ofthe Other Leg And The Hypotenuse class=

Sagot :

Since angles S and L are congruent, the triangle SLV is isosceles with base SL, that means SV = LV.

Since SV = m, we have LV = m

Now, to calculate the hypotenuse, we can use Pythagorean theorem:

[tex]\begin{gathered} SL^2=SV^2+LV^2 \\ SL^2=m^2+m^2 \\ SL^2=2m^2 \\ SL=m\cdot\sqrt[]{2} \end{gathered}[/tex]

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