In △ABC, AB = AC = x, BC = 10 cm and the area of △ABC is 60 cm 2 . Find x.

Let AD be the altitude. In isosceles triangle, the altitude to base bisects the base. ∴ BD = CD = 5 cm. From figure, In right triangle ABD, AB 2 = AD 2 + BD 2 x 2 = AD 2 + 5 2 AD 2 = x 2 - 25. AD = Hence, x = 13 cm.

In figure given below, BC = 5 cm, ∠B = 90°, AB = 5AE, CD = 2AE and AC = ED. Calculate the lengths of EA, CD, AB and AC.

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

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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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Mathematics

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

Pythagoras Theorem

Related Questions

In figure given below, BC = 5 cm, ∠B = 90°, AB = 5AE, CD = 2AE and AC = ED. Calculate the lengths of EA, CD, AB and AC.

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

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

Pythagoras Theorem

Related Questions

In figure given below, BC = 5 cm, ∠B = 90°, AB = 5AE, CD = 2AE and AC = ED. Calculate the lengths of EA, CD, AB and AC.

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

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 △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.