Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your ar
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 12 cm

Answer 1

The length of legs of isosceles right triangle is 8.5 cm

Solution:

Given is a isosceles triangle

hypotenuse = 12 cm

In an isosceles right triangle, the legs have equal lengths

Let these sides be each "a" cm

By pythogoras theorem,

`(Hypotenuse)^2 = (leg)^2 + (leg)^2\\\\12^2 = a^2+a^2\\\\2a^2 = 144\\\\a^2 = 72\\\\Take\ square\ root\ on\ both\ sides\\\\a = √(72)\\\\a = 8.49 \approx 8.5`

Thus the length of leg of isosceles right triangle is 8.5 cm