Find the value of x in the triangle below

x=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36+ x^2 = 100

Subtract 36 from each side

36-36 + x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

Step-by-step explanation:

Hello Ivan7882!

The Pythagorean Theorem is L^2 + L^2 = H^2

Since the side across from the right angle is 10, that is our hypotenuse. The other leg is 6.

Thus, our final answer is

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

college