In an isosceles triangle the two equal sides are 13 cm each and the base is 10 cm.
Dropping a perpendicular from the apex to the base, find the height of the triangle (in cm).

Question

In an isosceles triangle the two equal sides are 13 cm each and the base is 10 cm. Dropping a perpendicular from the apex to the base, find the height of the triangle (in cm).

Accepted Answer

12. The perpendicular bisects the base, giving a right triangle with hypotenuse 13 and base 5. Height = √13^2 - 5^2 = √169 - 25 = √144 = 12 cm.

In an isosceles triangle the two equal sides are 13 cm each and the base is 10 cm.
Dropping a perpendicular from the apex to the base, find the height of the triangle (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

In an isosceles triangle the two equal sides are 13 cm each and the base is 10 cm.Dropping a perpendicular from the apex to the base, find the height of the triangle (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

In an isosceles triangle the two equal sides are 13 cm each and the base is 10 cm.
Dropping a perpendicular from the apex to the base, find the height of the triangle (in cm).