In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Let AC = 30 cm and BD = 40 cm. We know that, Diagonals of rhombus are perpendicular and bisect each other, OB = = 20 cm and AO = AC = 15 cm. In right triangle AOB, By pythagoras theorem we get, ⇒ AB 2 = AO 2 + OB 2 ⇒ AB 2 = 15 2 + 20 2 ⇒ AB 2 = 225 + 400 ⇒ AB 2 = 625 ⇒ AB = 25 cm. Hence, each side of rhombus is 25 cm as all sides of rhombus are equal. Perimeter = 4(Side) = 100 cm. Hence, perimeter of rhombus = 100 cm.

In figure given below, AB || DC, ∠A = 90°, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.

View Answer Bookmark Now

In figure given below, ABC is a right triangle right angled at C. If D is mid-point of BC, prove that AB² = 4AD² - 3AC².

View Answer Bookmark Now

In △ABC, AB = AC = x, BC = 10 cm and the area of △ABC is 60 cm². Find x.

View Answer Bookmark Now

In figure given below, AB || DC, BC = AD = 13 cm, AB = 22 cm and DC = 12 cm. Calculate the height of the trapezium ABCD.

View Answer Bookmark Now

Mathematics

In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Pythagoras Theorem

ICSE

Related Questions

In figure given below, AB || DC, ∠A = 90°, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.

In figure given below, ABC is a right triangle right angled at C. If D is mid-point of BC, prove that AB² = 4AD² - 3AC².

In △ABC, AB = AC = x, BC = 10 cm and the area of △ABC is 60 cm². Find x.

In figure given below, AB || DC, BC = AD = 13 cm, AB = 22 cm and DC = 12 cm. Calculate the height of the trapezium ABCD.

Mathematics

In rhombus if diagonals are 30 cm and 40 cm, find its perimeter.

Pythagoras Theorem

ICSE

Related Questions

In figure given below, AB || DC, ∠A = 90°, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.

In figure given below, ABC is a right triangle right angled at C. If D is mid-point of BC, prove that AB2 = 4AD2 - 3AC2.

In △ABC, AB = AC = x, BC = 10 cm and the area of △ABC is 60 cm2. Find x.

In figure given below, AB || DC, BC = AD = 13 cm, AB = 22 cm and DC = 12 cm. Calculate the height of the trapezium ABCD.

In figure given below, ABC is a right triangle right angled at C. If D is mid-point of BC, prove that AB² = 4AD² - 3AC².

In △ABC, AB = AC = x, BC = 10 cm and the area of △ABC is 60 cm². Find x.