Question

Find the value of x in the isosceles triangle shown below

Answer 1

x = 10

Explanation:

One can assume that the line drawn down the middle splits the triangle into two congruent portions, thus it is an angle bisector, altitude, and median. This forms two congruent right triangles. Therefore, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

`a^2 + b^2 = c^2`

Where (a) and (b) are the legs or the sies next to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, remember that a median splits the base in half,

`(8)^2+(6)^2=c^2\\\\64 + 36 = c^2\\\\100 = c^2\\\\10 = c`

Answer 2

Explanation:

x is the hypothnes so u can done by trigonometric formula

c2=a2+b2

×2=6square +8square

x2=36+64

x=square root of 100

x=10(sorry my phone hasn't square)