1) Ina 45,45,90 triangle ifone of perpendicular side is 6 unit, then the area of triangle is Square units
(find the area oftriangle).
Answers
Answer:
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High School Math : How to find the area of a 45/45/90 right isosceles triangle
Study concepts, example questions & explanations for High School Math
Example Questions
High School Math Help » Geometry » Plane Geometry » Triangles » Isosceles Triangles » 45/45/90 Right Isosceles Triangles » How to find the area of a 45/45/90 right isosceles triangle
Find The Area Of A 45/45/90 Right Isosceles Triangle : Example Question #1
Isosceles
An isosceles right triangle has a hypotenuse of h=182–√in. Find its area.
Possible Answers:
Not enough information to solve
1.125ft2
5.4ft2
4.5ft2
2.115ft2
Correct answer:
1.125ft2
Explanation:
In order to calculate the triangle's area, we need to find the lengths of its legs. An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as 45∘−45∘−90∘ triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.
x=h2–√
x=182–√in2–√
x=18in
Now we can calculate the area using the formula
A=12bh
A=12∗18in∗18in
A=162in2
Now, convert to feet.
→162in21∗1ft12in∗1ft12in=1.125ft2
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