In a ΔABC, if ∠A = 72^{\circ} and ∠B = 63^{\circ}, find ∠C.
One of the acute angles of right triangle is 36^{\circ}, find the other.
One of the angles of a triangle is 100^{\circ} and the other two angles are equal. Find each of the equal angles.
In the figure given alongside, find the measure of ∠ACD.
In the figure given alongside, find the values of x and y.
If P is a point in the interior of ΔABC then fill in the blanks with > or < or =.
(i). PA + PB……. AB
(ii). PB + PC…… BC
(iii). AC …… PA + PC
The length of one side of a right triangle is 4.5cm and the length of its hypotenuse is 7.5 cm. Find the length of its third side.
The length of the sides of some triangles are given below. Which of them are right-angled?
(i). a = 15 cm, b = 20 cm and c = 25 cm
(ii). a = 9 cm, b = 12 cm and c = 16 cm
(iii). a = 10 cm, b = 24 cm and c = 26 cm
In a ΔABC, \angle B=35^{\circ} \text { and } \angle C=55^{\circ}. Write which of the following is true:
(i) A C^{2}=A B^{2}+B C^{2}
(ii) A B^{2}=B C^{2}+A C^{2}
(iii) B C^{2}=A B^{2}+A C^{2}
A 15-m-long ladder is placed against a wall to reach a window 12 m high. Find the distance of the foot of the ladder from the wall.
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