Question

Find the perimeter of the right triangle. If necessary, round to the nearest tenth. a. 13 in. b. 169 in. c. 60 in. d. 30 in.

Answer 1

Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm

b. 30 cm

c. 60 cm

d. 34.5 cm​

Answer:

d. 34.5 cm

Step-by-step explanation:

Applying

Perimeter of the right triangle (P) = a+b+c

P = a+b+c.................... Equation 1

But we can find the hyotenuse (a) using pythagoras theorem

a² = b²+c²

a = √(b²+c²)............... Equation 2

Substituting equation 2 into equation 1

P = √(b²+c²)+b+c................... Equation 3

From the diagram,

Given: b = 4 cm, c = 15 cm

Substitute these values into equation 2

P = √(4²+15²)+4+15

P = √(241)+4+15

P = 15.5+4+15

P = 34.5 cm

Hence the right answer is d. 34.5 cm