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# How do you fine the area of an isosceles right triangle with only the hypotenuse?

Updated: 11/4/2022

Wiki User

14y ago

A^2+A^2=C^2; considering two of ht legs (A) are equal

Wiki User

14y ago

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Q: How do you fine the area of an isosceles right triangle with only the hypotenuse?
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### What is the area of an isosceles right triangle whose hypotenuse is 12 2?

The length of the hypotenuse, alone, is not sufficient to determine the area of a triangle.

### What is the area of a right isosceles triangle with a hypotenuse is 16 square root 2?

Area of the right isosceles triangle: 0.5*16*16 = 128 square units

### How do you find area of a 90 degree triangle with hypotenuse only?

The hypotenuse only is not sufficient to determine the area of a right triangle, unless the triangle is stated to be isosceles, or there is some other information that allows determination of the length of a side in addition to the hypotenuse. The area of a right triangle with a given hypotenuse only approaches zero as one of the two acute angles approaches zero degrees.

### If a right triangle has a hypotenuse of 10m and a base of 5mwhat is the area?

A right triangle with a hypotenuse of 10m and a base of 5m has an area of: 21.65m2

### A right triangle has a hypotenuse of length 15 and a leg of length 8 What is the area of the triangle?

A right triangle with a hypotenuse of length 15 and a leg of length 8 has an area of: 50.75 units2

### What is the length of a leg of an isosceles right triangle if it is area is 72 square inches?

What is the length of a leg of an isosceles right triangle if it is area is 72 square inches?

### Is it possible to find the dimensions and area of a right angle triangle when given only its hypotenuse which is 8 cm?

No.Additional Information:-Yes providing it's not an isosceles right angle triangle the possible dimensions are:- hypotenuse 8 cm, height 6.4 cm and base 4.8 cm because they comply with Pythagoras' theorem.So the area is:- 1/2*6.4*4.8 = 15.36 square cmNote that if it was an isosceles triangle then the dimensions and area could also be worked out that is why you should have specified in your question the type of triangle.

### What is the sides of an isosceles right triangle if the area is 144cm?

An isosceles right triangle is a 90 degree triangle that the two non-hypotenuse sides are equal. http://mathworld.wolfram.com/IsoscelesRightTriangle.html Area of a triangle is 1/2 x b x h Area of an isosceles right triangle is 1/2 b2 144 cm2 = 1/2 b2 2 (144 cm2) = 2(1/2 b2) 288 cm2 =b2 16.97 cm = b So the base and height each equal 16.97 cm The hypotenuse can be solved by the Pythagorean Theorem a2 + b2 = c2 288 + 288 = c2 576 = c2 (576).5 = (c2).5 24 = c So the sides of an isosceles right triangle with the area of 144 cm2 are 16.97 cm, 16.97 cm, and 24 cm.

### A right triangle has a hypotenuse of length 10 and a leg of length 7 What is the area?

A right triangle has a hypotenuse of length 10 and a leg of length 7 has an area of: 24.99 units2

### What is the area of a perpendicular triangle?

I do believe you mean RIGHT triangle when you said perpendicular triangle. A right triangle has two legs and a hypotenuse. The area of a right triangle is 1/2 * (first leg) * (second leg) How do you determine which ones are the legs and which one is the hypotenuse? The hypotenuse is ALWAYS the largest number. So, choose the 2 smallest numbers.

### How do you find the area of an isosceles right triangle with hypotenuse 6sqrt2?

As it's an isosceles right triangle, the right angle is the angle between the two sides of equal length. Using Pythagoras, the lengths of these sides, and hence the area can be found: 2 x side2 = (6&radic;2)2 &rArr; side2 = 62 &rArr; side = 6 &rArr; area = 1/2 x 6 x 6 = 18 sq units.

### The hypotenuse of isosceles right triangle measures 15 feet. what is the area?

I believe you need 2 pieces of data (either an angle or another length) before you can calculate anything about the triangle. Anyone else can correct me if I'm wrong.