8. Given: PQR and TSR are right triangles, R is the midpoint of PT, PQ ≈ ST

Prove: PQR ≈ TSR

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement                      Reason

∠PQR = ∠RST                Given. ∠PQR = ∠RST = 90° (definition for right

                                       angle triangle.

PQ = ST                          Given

PR ≅  RT                         Since R is the midpoint of PT, hence PR = RT

ΔPQR ≅ ΔTSR                Side-angle-side triangle congruence theorem.

                                       the Side-angle-side triangle congruence theorem

                                       states that if two sides and an included angle of

                                       one triangle is equal to two sides and an included

                                       angle of another triangle, then the two triangles

                                       are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.