The Triangle an...

What are the measures of angles 'a' and 'b' in the given figure?

Find the value of x, if DC = CF.

What are the measures of 'x' and 'y' in the isosceles triangle ABC given below?

Directions: Triangles PQR and RQS are isosceles triangles. Find ∠SQR.

Directions: Find from right angled .

PQR is an equilateral triangle with its sides PQ = QR = RP. What is the value of ∠PQR in the triangle?

What are the values of 'x' and 'y' in the given figure? (Note: AB = BC)

Find the missing angle in the following figure.

Find the value of angle x° from the given group of equilateral triangles.

Directions: In the diagram given below, triangle BAC is a right angled triangle and quadrilateral ADOE is a rhombus. Using these properties, find the value of 5x - y.

In the figure given below (not drawn to scale), ABC and DEF are two triangles, AB is parallel to FD and AFCE is a straight line. Find the value of P + Q.

Which of the following CANNOT be the measurements of the sides of a triangle?

Directions: In the figure, not drawn to scale, MOPR is a rectangle and NPO is a triangle. Find ∠NQO.

Directions: In the figure, PQRS is a rectangle and △RTO is an isosceles triangle. Find x.

Find the measure of ∠CEA.

There is a building which is 12 m tall. Ram is standing on the ground 9 m away from the building. Find the diagonal distance between roof of the building and feet of Ram.

A ladder of length 15 m is placed against a wall. The ground distance between the wall and the lowest point of the ladder is 9 m. Find the height where the ladder touches the wall.

The diagonal of a rectangle is 10 cm and its length is 8 cm. What is the perimeter of the rectangle?

If Tom runs 45 cm in north direction and then 60 cm towards east, find the shortest distance that he needs to cover to get back to the starting point.

A wire is tied from the top of a pole to the ground at a distance 6 m from the base of the pole. If the pole is 8 m high, what is the length of the wire?

What is the value of (x + y) in the given figure?

Directions: State 'T' for true and 'F' for false.

(i) Triangle can have two angles of 90°.
(ii) In a triangle, if there are two acute angles, then third one would be an obtuse angle.
(iii) In a right angle triangle, there are always two acute angles.

In this question, three statements are given with some blanks. Fill in the blanks with the help of the table given below.

(i) A triangle can have maximum A altitudes.
(ii) The angles of a triangle are in the ratio 1 : 2 : 3. The measure of the largest angle is B .
(iii) If the base of a right-angled triangle is 8 cm and its perpendicular is 15 cm, then the length of hypotenuse will be C cm.

Which of the following is/are not true?

a. A ladder, which has its feet 9 m from the base of a wall, reaches a window on the wall 40 m above the ground. Hence, the ladder is 41 m long.
b. If a ship sails 33 km due south and then 56 km due west, it is 75 km from the starting point.
c. If a ladder, 65 m long, reaches a point on the wall of a house, 63 m above the ground, it is 17 m from the base of the wall.

In the figure, if QT PR, then find the measures of x and y.