Question

Calculate the perimeter of this right-angled triangle.

Give your answer in metres (m) to 1 d.p.
7m
19 m

Answer 1

To find the perimeter of a right-angled triangle, add up the lengths of all three sides. In this case, the perimeter is 44.7m.

Step-by-step explanation:

To calculate the perimeter of a right-angled triangle, you need to add up the lengths of all three sides. In this case, the sides of the triangle are 7m, 19m (the two perpendicular sides), and the hypotenuse, which can be found using the Pythagorean theorem. Assuming the longer side is the hypotenuse, we can calculate it as √(7^2 + 19^2) = √350 = 18.71m. Adding up these three lengths gives a perimeter of 7m + 19m + 18.71m = 44.71m. Rounding to 1 decimal place, the perimeter of the right-angled triangle is 44.7m.

Answer 2

The perimeter is 37.4 meters.

Step-by-step explanation:

Here's the plan:

use Pythagorean Theorem to calculate the unmarked side, then add up all three sides.

First, use Pythagorean Theorem.

7^2 + x^2 = 16^2

49 + x^2 = 256

subtract 49

x^2 = 207

square root both sides.

x = 14.3874945699

Add up all three sides, because the perimeter is the distance all the way around the outside of the shape.

Perimeter =

14.387494 + 7 + 16

= 37.387494

round to the nearest tenth (one d.p. means one decimal place)

Perimeter = 37.4

The perimeter is 37.4 meters.