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Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. Question 2. Question 3. CD Solution:. Question 4. ABC is an isosceles triangle right angled at C. Question Ncert Solutions For Class 10th Maths Chapter 6 Exercise 6.5 5. Question 6. ABC is an equilateral triangle of side la. Find each of its altitudes. Question 7. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
Question 8. Question 9. A ladder 10 m long reaches a window 8 m above the ground. Question Ncert Solutions Class 10th Maths Chapter 8 Qul A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.
Areas of these triangles are in the ratio a 2 : 3 b 4 : 9 c 81 : 16 d 16 : Sides of triangles are given below. Determine which of them are right triangles.
In case of a right triangle, write the length of its hypotenuse. CD Solution:. ABC is an isosceles triangle right angled at C. ABC is an equilateral triangle of side la. Find each of its altitudes. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. A ladder 10 m Ncert Solutions For Class 10 Maths Ch 6 Ex 6.5 Apk long reaches a window 8 m above the ground. A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end.
How far from the base of the pole should the stake be driven so that the wire will be taut? An aeroplane leaves an airport and flies due north at a speed of km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of km per hour.
Two poles of heights 6 m and 11m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops. In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. Prove that Solution:. Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides. In the given figure, two chords Ab and CD of a circle intersect each other at the point P when produced outside the circle.
Nazima is fly fishing in a stream. The trip of her fishing rod is 1. Assuming that her string from the trip of the rod to the fly is that, how much string does she have out see the figure? If she pills in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds? Two figures having the same shape but not necessarily the same size are called similar figures Two figures having the same shape as well as same size are called congruent figures Note that all congruent figures are similar but the similar figures need not be congruent.
Two polygons of the same number of sides are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion. Two triangles are similar if i their corresponding angles are equal and ii their corresponding sides are in the same ratio or proportion Note : If the corresponding angles of two triangles are equal, then they are known as equiangular triangles.
The ratio of any two corresponding sides in two equiangular triangles is always the same. Basic Proportionality Theorem If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then other two sides are divided in the same ratio. Converse of BPT If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side,. Formulae Handbook for Class 10 Maths and Science.
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