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9966 [12]
3 years ago
11

The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side

of the triangle.
Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

konstantin123 [22]3 years ago
6 0
The answer is x=4 cm
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