Question

Please help
find the value of x in the isosceles triangle shown below.
V80
V80

Answer 1

Option A. x = 8

Explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8