Question

find the other two side of a right angled triangle whose smallest side is 12 cm​

Answer 1

The other two sides of the triangle are 16 cm and 20 cm

Step-by-step explanation:

If the sides of the right angled triangle are whole number and smallest side is 12 cm then

The three sides of right angled triangle will form a Pythagorean triplet

If a, b, c are sides of triangle

Then Pythagorean triplets will be of the form

a = 2pq

b = p² - q²

c = p² + q²

Now, given that 12 is the smallest side

Thus,

12 = p² - q²

or, p² = 12 + q²

or, p² = 4 + 8 + q²

or, p² = 2² + q² + 2×2×2

If we take q = 2

Then

p² = 2² + 2² + 2×2×2

or, p² = (2+2)²

or, p = 2 + 2 = 4

Therefore, the other two sides will be

a = 2×4×2 = 16

c = 4² + 2² = 16 + 4 = 20

Thus in this case the sides of the triangles are 12 cm, 16 cm and 20 cm

Hope this answer is helpful.

Know More:

Similar Question: https://brainly.in/question/21289994