The Measurement Of A Leg Of An Isosceles Trapezoid Is 10 Cm And The Bases Are 20 Cm And 8 Cm, How Long Is The Altitude?

the measurement of a leg of an isosceles trapezoid is 10 cm and the bases are 20 cm and 8 cm, how long is the altitude?

 

Answer:

The length of the altitude is 8 cm.

Step-by-step explanation:

the measurement of a leg of an isosceles trapezoid is 10 cm and the bases are 20 cm and 8 cm, how long is the altitude?

isosceles trapezoid has equal base angles and the legs are equal

use pythagorean theorem

hypotenuse = c = 10 cm

base of the triangle = b = (20 - 8)/2 = 6 cm

altitude = a

c² = a² + b²

a = √(c² - b²)

a = √(10² - 6²)

a = 8 cm

Therefore, the length of the altitude is 8 cm.


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