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OLga [1]
3 years ago
13

Find the value of xxx in the isosceles triangle shown below. Choose 1 answer:

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Answer:

x=12

Step-by-step explanation:

The isosceles triangle consist of two right angle triangle of the same dimensions.

Let the unknown side of the right angle triangle=y

x=y+y

x=2y

Right angle triangle

c^2=a^2+b^2

c=10

a=8

b=y

c^2-a^2=b^2

10^2-8^2=y^2

100-64=y^2

36=y^2

y=√36

=6

y=6

Recall

x=2y

Substitute the value of y into the equation

x=2(6)

=12

Therefore,

x=12

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