Draw and label all three sides of a right triangle that has 40 degrees angle and a hypotenuse of 10cm

Consider a right angle triangle ABC such that  B =90 degree as shown in figure given below with all the three sides labelled.

let

Sum of all the measures of an angle in a triangle is 180 degree.

In triangle ABC

or

Simplify:

The side AC (Hypotenuse) = 10 cm

Now, find the other sides i.e, AB and BC;

Using Sine rule

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.

then

or

or

Simplify:

AB = 6.4278761 ≈ 6.43 cm

Now,by using tangent rule to solve for BC

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

then;

or

or

Simplify:

BC = 7.66044443≈ 7.66 cm

therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

agree

step-by-step explanation: