SOLUTION: If a right triangle has a hypotenuse with length 15cm. If one of the acute angles of the triangle is 25degrees, find the length of the two shorter sides of the triangle correct to
Algebra.Com
Question 334167: If a right triangle has a hypotenuse with length 15cm. If one of the acute angles of the triangle is 25degrees, find the length of the two shorter sides of the triangle correct to the nearest tenth of a centimeter.
Found 2 solutions by jrfrunner, solver91311:
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
if you have a right triangle and one of the acute angles is 25 degrees
then use trig functions to find the other legs.
--
Sin(25) = Opposite leg/hypotenuse, and cos(25)=adjacent leg/hypotenuse
--
So......
Opposite leg = hypotenuse*Sin(25) and adjacent leg = hypotenuse*cos(25)
--
opposite leg = 15*sin(25) = 15*(0.4226)=6.3;
adjacent leg = 15*cos(25) =15*(0.906)=13.6
===
check
in a right triangle, leg1^2+leg2^2=hypotenuse^2
6.3^2+13.6^2 = 39.7+185.0=224.7; 15^2=225 so it checks out
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent one leg of the triangle. Let 
represent the other leg. Then:
)
)
I'll leave you alone to spend some quality time with your calculator.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
if the length of two sides of a right angled triangle are 15cm. and 20cm. Find the length (answered by luke94)
One of the acute angles in a right triangle is 60°.Find the other acute... (answered by Alan3354,MathTherapy)
Suppose you have a right triangle whose hypotenuse has length 8. One of the other sides... (answered by solver91311)
If 3/4 of one acute angles of a right-angled triangle is 15 1/4 degrees larger than 1/6... (answered by richwmiller)
I am having problems with this question.
If one of the acute angles of a right... (answered by Fombitz)
In a right triangle, the length of the hypotenuse is 12m and the measure of one of the... (answered by josgarithmetic,ikleyn)
A right triangle has sides 15cm and 20cm. What is the lenght of the... (answered by Earlsdon)
A right triangle has sides 15cm and 20cm. What is the lenght of the... (answered by smoothflyin)
The lengths of the sides of a right angles triangle form the terms of an
arithmetic... (answered by Edwin McCravy)