Question

If triangle ABC &triangle PRT are similar such that agle c = angle R =90 and AC/AB =3/5 then sinT is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given: Triangle ABC and Triangle PRT are similar such that Angle C = Angle R = 90° and AC/AB= 3/5.

To find: sin T

Solution: When two triangles are similar, their angles are equal and their length of sides are proportional to each other.

Here, angle C = angle R = 90°

Since the triangles are similar,

angle B = angle T

=> sin B = sin T (when two angles are equal, their sine values are also equal).

Now, in triangle ABC,

AC/AB = 3/5

Here,as seen in figure, AC is the perpendicular and AB is the hypotenuse of the triangle.

sin B= AC/AB

= 3/5

Therefore, sin T = sin B = 3/5

Therefore,the value of sin T= 3/5.