Answer:
Explanation:
Since the given figure is a right triangle, we can use Pythagorean Theorem
where c² = a² + b²
c = 15
15² = a² + b²
Since 15 is the hypotenuse, we can then say that the possible legs of the triangle are less than 15.
225 - a² = b²
we will do trial and error
let a be 14
225 - 14² = b²
b = √29
a = 14cm, b = √29cm, c = 15cm
let a be 13
225 - 13² = b²
b = 2√14
a = 13cm, b = 2√14cm, c = 15cm
let a be 12
225 - 12² = b²
b = 9
a = 12cm, b = 9cm, c = 15cm
You can solve for other possible values using the same process as above. Since there are no conditions whether the lengths of the legs should be a whole number or not then the above dimensions can be considered. If you're looking for an answer that consists of whole numbers then the answer would be a = 12cm, b = 9cm and c = 15cm