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fixianstewart
01.08.2019 •
Mathematics
The base of an isosceles triangle is 70 centimeters long. the altitude from the vertex angle to the base is 75 centimeters long. find, to the nearest whole degree, the measure of the base angles of this triangle.
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Ответ:
We get two similar right angled triangles ADC and BDC. For triangle ADC, AD = 35cm, DC = 75cm. Tangent of angle DAC can be written as:
Angle DAC is equal to tangent inverse of 15/7 which equals 65 degrees, rounded of to nearest whole degree.
Angle DBC = DAC = 65 degrees
Thus the base angles for the given isosceles triangle will be 65 degrees each, rounded of to nearest whole degree.
Ответ:
D
Step-by-step explanation: