SOLUTION: in a triangle ABC, side a is twice as long as side b. If the hypotenuse is 30 m longe,solve

Algebra.Com
Question 272840: in a triangle ABC, side a is twice as long as side b. If the hypotenuse is 30 m longe,solve
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
a^2+(2a)^2=30^2
A^2+4A^2=900
5A^2=900
A^2=900/5
A^2=180
A=SQRT180
A=13.4164M. ANS. FOR THE SHORT SIDE.
2*13.4164=26.8328M. ANS. FOR THE LONGEST SIDE.
PROOF:
13.4164^2+26.8328^2=900
180+720=900
900=900

RELATED QUESTIONS

The hypotenuse of a right triangle is twice as long as the shortest side. The third side... (answered by nerdybill)
The hypotenuse of a right triangle is 4cm less than twice as long as one of the other... (answered by Alan3354)
The hypotenuse of a right triangle is 4cm less than twice as long as one of the other... (answered by Alan3354)
The hypotenuse of a right triangle is 4 cm less than twice as long as one of the other... (answered by ewatrrr)
The hypotenuse of a right triangle is 4cm less than twice as long as one of the other... (answered by ewatrrr)
In triangle ABC angle m < A is 45 degrees, angle m < B=30 degrees, and side a=10. What... (answered by josgarithmetic,math_tutor2020)
If a right triangle has a hypotenuse of the 5 radical 5 cm and one side is twice as long... (answered by josmiceli)
please help me solve this problem: The perimeter of a triangle is 51 inches. side A is... (answered by LtAurora)
The first side of a triangle is twice as long as the second side. The remaining side is 9 (answered by srinivas.g)