In the given figure,T and B are right angles. If the lengths of AT, BC and AS (in centimeters) are 15, 16 and 17 respectively, then the length of TC (in centimeters) is:

Q. In the figure below, $\angle ABC=\angle DFE,\angle BAC=\angle FDE$, $D$ and $F$ are on $AB,AD=FB$ and the distances are shown in the figure itself in centimeters. Calculate the length of $AD$, in centimeters.

Q.

The lengths of the sides of some triangles are given below. Find the right-angled triangles among these.

(i) 7 centimeters, 15 centimeters, 17 centimeters

(ii) 8 centimeters, 24 centimeters, 25 centimeters

(iii) 6 centimeters, 8 centimeters, 10 centimeters

(iv) 1.5 centimeters, 1.6 centimeters, 2.5 centimeters

Q. In the given figure, the measurements indicated are in centimeter and $BC=10cm$. Find the length of BE.

Q. The lengths of the sides of a triangle are successive terms of a geometric progression. Let $A$ and $C$ be the smallest and the largest interior angles of the triangle respectively. If the shortest side has length $16$ centimeters and $\frac{\sin A-2\sin B+3\sin C}{\sin C-2\sin B+3\sin A}=\frac{19}{9},$ then the perimeter of the triangle in centimeters is
(correct answer + 3, wrong answer 0)

Q. The lengths of the sides of a triangle are successive terms of a geometric progression. Let $A$ and $C$ be the smallest and the largest interior angles of the triangle respectively. If the shortest side has length $16$ centimeters and $\frac{\sin A-2\sin B+3\sin C}{\sin C-2\sin B+3\sin A}=\frac{19}{9},$ then the perimeter of the triangle in centimeters is
(correct answer + 3, wrong answer 0)