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kuadirkennedy
16.07.2019 •
Mathematics
Hurry! what is the area, in square units, of an isosceles right triangle with a hypotenuse of 20 units?
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Ответ:
Area of triangle : 100 unit².
Step-by-step explanation:
Given : Isosceles right triangle with a hypotenuse of 20 units.
To find : What is the area.
Solution : We have given an
Isosceles right triangle with a hypotenuse = 20 units.
Isosceles right triangle : A triangle which has 2 sides equal with one angle is 90 degree.
Let two perpendicular equal sides = a , a
By the Pythagorean theorem :
(hypotenuses)² = (side1) ²+ (side2)².
Plug the values
(20)² = (a) ²+ (a)².
400 = 2a².
On dividing both sides by 2
200 = a².
Taking square root both sides
a = 10
.
Area of triangle :
.
Area of triangle :
.
Area of triangle :
.
Area of triangle : 100 unit².
Therefore, Area of triangle : 100 unit².
Ответ: