SOLUTION: The hypotenuse of a right angled triangle is 2 cm. more than its base and 1 cm. more than twice the perpendicular. Find the sides of the triangle?

Question 136320: The hypotenuse of a right angled triangle is 2 cm. more than its base and 1 cm. more than twice the perpendicular. Find the sides of the triangle?
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let b = the length of the base. Let the other sides be h and p
h = b+2 ---> b = h-2
h = 2p+1 ---> p = (h-1)/2
we also know h^2 = b^2 + p^2

h = 17 or 1.
Since base is h-2, h cannot be one since then b would be negative
so h = 17
b = 15
p = 8

RELATED QUESTIONS
The height of a right-angled triangle is 1 m more than its base and its hypotenuse is 2 m (answered by KMST)

The height of a right triangle is 5 cm more than its base. The area of the triangle is 42 (answered by Fombitz)

The legs of a right triangle differ by 2 cm. and the hypotenuse is 4 cm. more than the... (answered by MRperkins)

in a right angled triangle the length of one of the sides forming the right angle is 4 cm (answered by CubeyThePenguin,ikleyn)

The base of a right angled triangle measures 48 cm and its hypotenuse measures 50 cm.... (answered by Alan3354)

The ratio of base and hypotenuse is 4:5 of a right angled triangle. Its perimeter is 48... (answered by Cromlix)

The base length of a right triangle is 4 cm more than its height. The area is 30 cm2.... (answered by josgarithmetic)

The hypotenuse of a right-angled triangle is (x+8)cm, and the two shorter sides are... (answered by macston)

The length of one leg of a right triangle is 5cm. The hypotenuse is 1 cm more than the... (answered by edjones)