SOLUTION: Please help me solve this, its for a quiz grade and im clueless on how to solve this.
Show that in a 30-60-90 triangle, the altitude to the hypotenuse divides the hypotenuse in th
Algebra.Com
Question 577147: Please help me solve this, its for a quiz grade and im clueless on how to solve this.
Show that in a 30-60-90 triangle, the altitude to the hypotenuse divides the hypotenuse in the ratio 1:3. In triangle ABC let CD be the altitude to the hypotenuse and DB=x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Presume vertex A is the 60 degree angle, then in triangle ACD, angle A is 60 degrees and angle ADC is 90 degrees, so angle ACD must be 30 degrees, therefore triangle ACD is similar to triangle ABC (by Angle-Angle-Angle). Similarly you can show that triangle BCD is also similar to ABC.
Since in a 30-60-90 right triangle the short leg is one-half of the hypotenuse, AC must be one half of AB and furthermore AD is one half of AC hence AD is one-fourth of AB. Therefore the ratio of AD to DB is 1/4 to 3/4 which is equivalent to 1:3.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Special Right Triangles:
45-45-90 Triangle and the 60-30-90. Can you explain to me how... (answered by drk)
i am a sophmore in highschool taking PreCal and i need help. I have to write a 50 word... (answered by longjonsilver)
I am asked the values of the variables in a 30-60-90 special right triangle. I am given 9 (answered by linht117)
Please help me solve this word problem:
There is a 30-60-90 triangle with an area of 24 (answered by mananth)
can you please help me on origin. How do you write an equation for the line containing... (answered by rapaljer)
hello i'm in 4th grade grade.I'm trying to figure out how to solve this algebra... (answered by Fombitz,Alan3354,Nieleya)
This is in my summer review packet and i have forgotton how to solve it. if you could... (answered by gsmani_iyer)
Hi math is not my best subject. My son has a math problem that got me stuck. He is in 2nd (answered by richard1234)
A woman asks,"How much for one?"
The Vendor says, "30 cents"
The woman asks, "How much... (answered by richard1234)
