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zubka84 [21]
3 years ago
12

Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter

Mathematics
1 answer:
kupik [55]3 years ago
7 0

The perimeter of the triangle = 60 cm

Solution:

The given triangle is a right triangle.

Base of the triangle = 15 cm

Hypotenuse = 25 cm

Let the unknown side of the triangle be x.

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

x^2+15^2=25^2

x^2+225=625

Subtract 225 from both sides,

x^2=400

Taking square root on both sides, we get

x = 20

The unknown side of the triangle is 20 cm.

The perimeter of the triangle = Sum of the sides of the triangle

                                                 = 15 cm + 25 cm + 20 cm

                                                 = 60 cm

The perimeter of the triangle = 60 cm

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