geometry

posted by .

If the area and perimeter of a right triangle are 30 cm2 and 30 cm, respectively, what is the length of the hypotenuse (the side opposite the right angle)?

• geometry -

a+b+c = 30
1/2 ab = 30
since b = 60/a,

a+(60/a)+√(a^2 + (60/a)^2) = 30
a = 5

the triangle is a 5-12-13 right triangle

• geometry -

i stuck at this point and did not get forward
a^2 -15a +60 = 0

Similar Questions

1. inverse trig functions

evaluate the following expressions: tan(sec^-1(5/3)) tan(sec^-1(25/7)) cot(csc^-1(5/3)) i know the answers.. i jus don't know how to solve them =( PLEASE help me I assume your sec^-1 notation denot4es the arcsecant function, etc. sec^-1 …
2. Geometry

x ________________<20* |<90* y | |<70* (hypotenuse length is 12 units) I'm learning about trig ratios, and my dad was trying to compare it to a circle or something?
3. Geometry

The hypotenuse of a right triangle is the side opposite the?
4. math

A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0°. What are the lengths of (a) the side opposite the 30.0° angle and (b) the side adjacent to the 30.0° angle?
5. Math

If the hypotenuse of a right triangle is 13 and one of its legs is 5, find the area fo the triangle. Answer Choices 20 40 45 30 25 I know a hypotenuse the side of a right triangle opposite the right angle. You can't multiply the hypotenuse …
6. Geometry

In a right angled triangle length of a side is 5x and another side is 3x-1 and its area is 60 cm2. what will be its perimeter?
7. geometry

Jim has put a fence along the side AC of the triangular patch of land shown below. A right angle triangle ABC is shown having length of one leg equal to 6 meters. The measure of angle ABC is 90 degrees. A fence is shown on the hypotenuse …
8. math problem

In DABC, what could the 7 shown in the ratio sin A = 7/9 represent?
9. physics

A right triangle has a hypotenuse of length 2.00 m, and one of its angles is 24.0°. What are the lengths of the following sides?
10. Geometry

Please check my answers 1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right?

More Similar Questions