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.
1 answer:
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
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