Question

Don't assume any length/angle unless specified
and find the value of x

Answer 1

Answer:

√71

Step-by-step explanation:

Let the hypotenuse of big triangle be T.

Then, T²=x²+3²

Make new right triangle.

We see 2 right angles. Join two endpoints of furthest sides. (3, 5)

Now two triangle will form, move side with length 4.

And move side with length 3.

Then, a right triangle with hypotenus T will form.

T²=4²+(3+5)²

T²=16+64

∴T²=80

Substitute into first equation.

80=x²+3²

71=x², x>0

∴x=√71

Problem solved. Did it help?