Q43 of 168 Page 4

is an isosceles triangle in which = 90° . If AC = 6 cm, then AB=

Given in an isosceles triangle ABC, ∠C = 90° and AC = 6 cm.



⇒ BC = AC = 6 cm


We know that the Pythagoras theorem state that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.


Now, in right triangle ABC,


⇒ AB2 = AC2 + BC2


= 62 + 62


= 36 + 36


= 72


∴ AB = 6√2 cm

More from this chapter

All 168 →
41

If such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of is 25 cm, then the perimeter of is

 42

In an isosceles triangle ABC if AC = BC and AB2 = 2AC2 , then =

 44

If in two triangles ABC and DEF, , , then which of the following not true?

 45

In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is