Question

If the area of a right triangle is 15, what is its
perimeter?

Answer 1

Answer: There are many possibilities, depending on the base and height dimensions. Here are a few:

if 3 × 10 the perimeter will be = 3 + 10 + 10.44 = 23.44

if 2 × 15 the perimeter will be = 2 + 15 + 15.13 = 32.13

if 1 × 30, the perimeter will be = 1 + 30 + 30.02 = 61.02

Step-by-step explanation: For the area of the triangle

A = bh/2. The Perimeter is the sum of the three sides

No base or height is given in this question, so it could be any combination of factors that result in A = 15 Even fractional dimensions! (But we'll keep it simple for now. You could probably set up an equation and graph it to see all the combinations.)

To get the third side, the hypotenuse, use the Pythagorean Theorem.

For 3 × 10,
`√(109)` is the third side

For 2 × 15,
`√(229)` is the third side

For 1 × 30
`√(901)` is the third side

Answer 2

the perimeter of the right triangle is 45