Question

Please help! Need answer ASAP!

Answer 1

Answer:

Step-by-step explanation:

A) identical triangles PSR and PSQ

B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR.  so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees.  the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar

C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4  then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula

c²=a²+b²

c²=4²+4²=16+16=32

c=√32=√16*2=4√2