What is the length of the side of an equilateral triangle if its altitude is 18 cm? Answer: The length of the side of the equilateral triangle is 12√3 cm. Please click the image below to view my illustration and the complete solution. Step-by-step explanation: The altitude of an equilateral triangle (60°-60°-60°) divides it into two congruent 30°-60°-90° special right triangle. The new triangle formed has a short (opposite the 30°), longer leg (opposite the 60°) and the hypotenuse (opposite the 90°) . The hypotenuse is the length of the original equilateral triangle. The theorem of 30°-60°-90° special right triangle states that the hypotenuse is twice the shorter leg and the longer leg is the product of shorter leg and √3. The longer leg is also half the product of the hypotenuse and √3. The altitude of the original equilateral triangle is also the longer leg of the new special triangle formed, while the hypotenuse is the side of the original equilateral triangle. Fi...
Bakit dapat iwasan ang pagkakalat ng mga usapang wala namang batayan o katotohan Dahil ito ay masama at nakakasama hindi lang sa iyong sarili kundi rin sa ibang tao , ito kadalasan ang nagiging dahilan ng pag aaway
He many real roots does the quadratic equation x2 +5 +7=0 ANSWER : Only imaginary roots satisfy the equation and these are +2√3¡ and -2√3¡. STEP BY STEP EXPLANATION : X^2 + 5 + 7 = 0 X^2 + 12 = 0 X^2 = 0 - 12 X^2 = -12 X = ±√(-12) X = +2√3¡ X = -2√3¡ Therefore, only imaginary roots satisfy the equation and these are +2√3¡ and -2√3¡. OK.
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