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Studentka2010 [4]
3 years ago
10

A base angle of an isosceles triangle measures 30, and the length of one of the legs is 12. What is the length of the altitude d

rawn to the base of the triangle?
Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer: 6

Step-by-step explanation:

From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:

Sin = opposite/hypotenuse

Sin 30°=length of the altitude/12

Note that sin 30° = 0.5

0.5 = length of the altitude/12

length of the altitude = 12 × 0.5

Hence, length of altitude = 6

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