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Ede4ka [16]
3 years ago
11

What is the value of x? Round to the nearest tenth.

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
5 0

Answer:

D. 10.2

Step-by-step explanation:

Since the triangle is a right triangle we can use the Pythagorean theorem.

I will call the hypotenuse h, so in this case:

h=19

and one leg will be l, in this case:

l=16

and the unknown for this problem is the other leg which in the image is called x.

So the formula for the  Pythagorean theorem:

h^2=l^2+x^2

clearing for x:

x^2=h^2-l^2\\x=\sqrt{h^2-l^2}

substituting h=19 and l=16:

x=\sqrt{19^2-16^2}\\ x=\sqrt{361-256}\\ x=\sqrt{105}\\ x=10.2

the value of x is option D. 10.2

Darya [45]3 years ago
4 0
Ans is d (19^2-256)^0.5=10.2
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