Today our topic of discussion is Mensuration Exercises 16.1.
Mensuration Exercises 16.1
Exercise 16.1
- The hypotenuse of a right-angled triangle is 25 m. If one of its remaining two sides is 3/4 of the other, find the length of the two sides.
- A ladder with length 20 m. stands vertically against a wall. How much further should the lower end of the ladder be moved so that its upper end descends 4 metre?
- The perimeter of an isosceles triangle is 16 m. If the length of equal sides is 5/6 of base, find the area of the triangle.
- The lengths of the two sides of a triangle are 25 cm, 27 cm and perimeter is 84 cm. Find the area of the triangle.
- When the length of each side of an equilateral triangle is increased by 2 metre, its area is increased by 6√3 square metre. Find the length of side of the triangle.
- The lengths of the two sides of a triangle are 26 m., 28 m. respectively and its area is 182 square metre. Find the angle between the two sides.
- The length of equal sides of an isosceles triangle is 10 m and area 48 square metre. Find the length of the base.
- Two roads run from a certain place with an angle of 135° in two directions. Two persons move from that place in two directions with the speed of 7 km per hour and 5 km per hour respectively. What will be the direct distance between them after 4 hours?
- If the lengths of the perpendiculars from a point interior of an equilateral triangle to three sides are 6 cm, 7 cm, 8 cm respectively; find the length of sides of the triangle and the area of the triangular region.
10. The perpendicular of a right-angled triangle is 6 cm less than times of 12 4 the base, and the hypotenuse is 3 cm less than times of the base.
1) Let the base ber. Express the area of the triangle in terms of r.
2) Find the length of the base.
3) If the length of the base of the triangle is 12 cm., find the area of the equilateral triangle having the same perimeter as its perimeters.
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