How long is the longer leg? hypotenuse and right triangle?

Question

A lot is in the shape of a right triangle. The shorter leg measures 90 m. The hypotenuse is 30 m longer than the length of the longer leg. How long is the longer leg?

my answer is 150 but i wanted to check it

Answer 1

120 is the answer ... 150 is length of hypotenuse...

the ratios shud be in 3:4:5

Answer 2

Let the longer leg be X

Applying the Pythagorean theorm tells you

90^2 + X^2 = (30+X)^2

Expand:

8100 + X^2 = 900 + 60X + X^2

Subtract X^2 from each side and subtract 900 from each side

7200 = 60X

Solve

X = 120

That makes the hypotenuse 150

The sides are 90:120:150, a 3:4:5 triangle

Answer 3

yea that seems right just do a^2+b^2=c^2   it will give you your answer

Answer 4

can't focus with that profile pic...... send me some

Answer 5

you are correct.

3-4-5  is a classical right triangle.

so,  9-12-15  is also.

and  90-120-150.

Answer 6

x = longer leg

x^2 + 90^2 = (x+30)^2

x^2 + 8100 = x^2 +60x +900

60x = 7200

x = 120 m <-- longer leg

So this is a 90-120-150 triangle

Your answer of 150 is length of hypotenuse and not the longer leg.

Answer 7

Hypotenuse squared = shorterleg squared + longerleg squared

(longer + 30)^2 = 90^2 + longer^2

2(30)(longer) + (30)^2= (90)^2  

longer = [(90)^2 - (30)^2] / 60 = 120X60 / 60 = 120

Hypotenuse = 120 + 30 = 150.