The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
<u>Answer</u>:
8x^5y^7
<u>Step by step explanation</u>
Answer: 7 hours left!
Step-by-step explanation:
She had used up 12 hours and 45 minutes. 7 hours and 15 minutes left, but if you're including the minutes, then it's 7 hours and 15 minutes. Good luck! :D
Answer:
x = 20°
Step-by-step explanation:
An equilateral triangle has three equal angles of 60° each.
Since ∆BCD is an equilateral triangle, it follows that:
<CBD = <BCD = <CDB = 60°
m<ACD = 40° + <BCD
m<ACD = 40° + 60° (substitution)
m<ACD = 100°
x + m<ACD + CDB = 180° (sum of triangle)
x + 100° + 60° = 180° (substitution)
x + 160 = 180
Subtract 160 from each side
x = 180 - 160
x = 20°
