The Triangle an...

In the figure (not drawn to scale), ABC and DEF are two triangles. CA is parallel to FD and CFBE is a straight line. Find the value of x + y.

In triangle ABC, if AB + BC = 12 cm, BC + CA = 14 cm, CA + AB = 16 cm, then the perimeter of the triangle is __________.

In the figure given below (not drawn to scale), ACDF is a rectangle and BDE is a triangle. Find EBD.

In the given figure, ABCD is a rectangle. Find the value of x.

In the figure given below, ABC and DBE are equilateral triangles. Find the value of x.

If ABC is a right-angled triangle, right-angled at B and AC is the hypotenuse, then the other two angles of the triangle ABC are _________.

In the figure given below, ABCD is a square and LDC is an equilateral triangle. Find ∠ADL.

In the above figure, the values of y and z, respectively, are

Find ∠BPQ.

In the figure given below, find ∠ACB.

In the given figure (not drawn to scale), AB is parallel to CD, ∠EOH = 85° and ∠DMF is given to be 50°. Find the value of x + y - z.

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

In WXY, ∠YXW = 3y°, ∠YWX = (4y - 4)° and ∠WYZ = 52°. Find the value of y.

What is the measure of x in the figure below? (Given that AB = AC)

In triangle ABC given above, B = 75°, ACB = 70°. Find the value of x - y.

A 35-foot tall tree is leaning against a wall and is positioned such that the base of the tree is 21 feet from the base of the wall. How far above the ground is the point where the tree touches the wall?

There is a pipe which has broken at a height of 8 m from the ground. The top end of the broken pipe touches the ground at a distance of 15 m from the base of the pipe. What is original length of the pipe?

There is a park where children play in the evening. The park is in the shape of a rhombus with diagonals equal to 60 m and 80 m. What is the perimeter of the park?

There is a 41 m long ladder, which is placed against the balcony of a building. The balcony is at a height of 9 m from the ground. Calculate the distance between the foot of the ladder and the building's base.

A rectangle has a diagonal of 50 cm and length of 40 cm.Find the sum of all sides of a rectangle.

Calculate the missing angle from the figure above.

Which of the following statements is/are true?


Statement-I: An isosceles triangle has two sides of equal length, and all different angles.
Statement-II:The reflex angle is the larger angle. It is more than 180° but less than 360°

Fill in the blanks:

(i) The polygon with least number of sides is a __________ with three sides.
(ii) The longest side of a right-angled triangle is called the ____________, and it is always found opposite the right angle.
(iii) A scalene triangle has _______ sides of equal length and __________ equal angles.

Which of the following statements is/are TRUE?

Statement 1- The sum of two similar sides of an isosceles triangle is greater than the third side.
Statement 2- In a PQR, a random point A is drawn on QR. Is it true that PQ + QR + PR > 2PA?

Find the measures of ∠d and ∠o. Given that ∠XWU = 44°; ∠XUW = 60°; ∠XVU = 30°.