Similar triangle is one type of triangle in geometry. A 90° angle is called as a right angle. In a right triangle, the total angle value of the remaining angles also equal 90°. In similar right triangles, angle A and angle B together equal 90°. Remember, the total angle value of all three angles is 180°. So angles an A and an angle B must the total angle value up to 90°. In this article we shall discuss about geometry similar right triangles.
The two right triangles are having a same angles value but the length of the sides is not same values, its various from each other. The acute angles of the first triangle are equal to acute angles of the second triangle. This conclusion is supported by the following reasons:
The similar right triangles are satisfy the Pythagoras theorem of the area of the square in which side is the side opposite the right angle is equal to the total value of the areas of the squares in which sides are the two legs (the two sides that meet at a right angle).
a2 + b2 = c2
Same like in angles the sum of the two small squares angles equal to the square of big angle.
Ex 1: Find c=? Sides and b are a=4 b=6 side a= 6 and side b=4 c =?
Sol : For c2 = a2 + b2
c2= 42 +62
c =`sqrt(16 + 36)`
For PQR c2 = a2 + b2
c2 = 62+ 42
c2 = 54
Therefore the triangles are similar right triangles.