Asked by allie
two sides of a triangle are 15cm and 18 cm in length. the altitude tossed is 10cm what is the length of the altitude to the 15 cm side?
Answers
Answered by
allie
is 15 the correct answer
Answered by
Reiny
What is a tossed altitude ?
I will assume the question is as follows:
Triangle ABC, AB = 15 , AC = 18
AD is an altitude where D is on BC and BD = 10
BD^2 + 10^2 = 15^2
BD = √125 = 5√5
similarly, CD = √224 = 4√14
BC = appr 26.147 cm
Let the altitude from C to BA extended be CE, where E is on BA extended.
I will let you do some work ....
you can find angle BAC using the cosine law, it will be obtuse.
Then in the right-angled triangle EAC you can find angle EAC and you know the hypotenuse AC = 18, so you can find the altitude CE
angle EAC
I will assume the question is as follows:
Triangle ABC, AB = 15 , AC = 18
AD is an altitude where D is on BC and BD = 10
BD^2 + 10^2 = 15^2
BD = √125 = 5√5
similarly, CD = √224 = 4√14
BC = appr 26.147 cm
Let the altitude from C to BA extended be CE, where E is on BA extended.
I will let you do some work ....
you can find angle BAC using the cosine law, it will be obtuse.
Then in the right-angled triangle EAC you can find angle EAC and you know the hypotenuse AC = 18, so you can find the altitude CE
angle EAC