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, BC = AD = 13 cm, AB = 22 cm and DC = 12 cm. Calculate the height of the trapezium ABCD.

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

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

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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.

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Mathematics

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

Pythagoras Theorem

Related Questions

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

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

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.

Mathematics

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

Pythagoras Theorem

Related Questions

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

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

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