Question

Given that a = 5.9 cm and b = 3.8 cm, work out the perimeter of the triangle. Give your answer rounded to 1 DP.

Answer 1

P(triangleBCA) = 16.718cm

Explanation:

Substitute a = 5.9cm into AB = a : AB = 5.9cm

Substitute b = 3.8cm into BC = b : BC = 3.8cm

Add them both up as the Pythagorean Theorem states AB^2 + BC^2 = AC^2

5.9cm^2 + 3.8cm^2 = AC^2
5.9cm^2 + 3.8cm^2 = 7.018cm

Perimeter of a triangle is P (triangleBCA) = AB + AC + BC

Now add 5.9 + 7.018 + 3.8cm

And when you calculate it, P(triangleBCA) =16.718cm

Hope this helps you.

Answer 2

To find the perimeter of a triangle, we need to sum the lengths of all three sides. Given that a = 5.9 cm and b = 3.8 cm, we need to find the length of the third side, c, before we can calculate the perimeter.

We can use the Pythagorean theorem to find the length of c, since we know that the triangle is a right-angled triangle. The Pythagorean theorem states that:

c^2 = a^2 + b^2

Substituting the given values, we get:

c^2 = (5.9)^2 + (3.8)^2
c^2 = 34.81 + 14.44
c^2 = 49.25

Taking the square root of both sides, we get:

c = 7

Now that we know that c = 7 cm, we can calculate the perimeter of the triangle:

Perimeter = a + b + c
Perimeter = 5.9 + 3.8 + 7
Perimeter = 16.7

Rounding this to 1 decimal place, we get:

Perimeter = 16.7 cm (rounded to 1 decimal place)

Therefore, the perimeter of the triangle is 16.7 cm.