SOLUTION: if the
hypotenuse of a right angled
triangle is 3 root 10.the
smaller side is tripled and
longer side is doubled the new
hypotenuse is 9 root 5. find the
length of the side
Algebra.Com
Question 734636: if the
hypotenuse of a right angled
triangle is 3 root 10.the
smaller side is tripled and
longer side is doubled the new
hypotenuse is 9 root 5. find the
length of the side
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length of the smaller side
= length of the longer side
Applying the Pythagorean theorem:
--> --> -->
= length of the tripled smaller side
= length of the doubled longer side
Applying the Pythagorean theorem:
--> --> -->
Now, we have the system of equations (linear in and )
which can be easily solved to find
and , so and
RELATED QUESTIONS
pls help me with this question
The hypotenuse of a right angled triangle is 3^5.If the (answered by ikleyn)
In a right angled triangle the length of the shortest side is unknown. The hypotenuse is... (answered by cleomenius)
The hypotenuse of a right triangle is 10 inches longer than the shortest side and 5... (answered by jorel1380)
The sides of a right angled triangle are such that the sum of the length of the
longest... (answered by greenestamps,josgarithmetic,Edwin McCravy,mccravyedwin,MathTherapy)
The hypotenuse of a right triangle is 6 inches longer than the shortest side and 3 inches (answered by joyofmath)
The hypotenuse of a right triangle is 6 inches longer than the shortest side and 3 inches (answered by checkley71,vleith)
The side of a right triangle are 8,15 and 17 units. If each side is doubled, how many... (answered by ankor@dixie-net.com)
The length of the hypotenuse of a right angled triangle is 50mm. Calculate the lengths of (answered by josgarithmetic)
in a right-angled triangle one right-angled side is 2m longer than the other one.... (answered by macston)