Best Answer

Forget about pi for now and let the sides be (x-1.75) and x

If: 0.5*(x-1.75)*x = 18.375

Then: x2-1.75x-36.75 = 0

Solving the quadratic equation gives x a positive value of 7

Using Pythagoras: (7-1.75)2+72 = 76.5625 and its square root is 8.75

Therefore the hypotenuse is 8.75 cm

Note: pi*(5.25/2)2+pi*(7/2)2 = pi*(8.75/2)2

Q: What is the hypotenuse of a right angle triangle when one side is 1.75 cm shorter than the other side with an area of 18.375 square cm taking pi as 3.142?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x

The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.

The hypotenuse of a right triangle is found using the Pythagorean theorem: c^2 = a^2 + b^2. Plugging in the given values, we have c^2 = 33^2 + 41^2. Simplifying, c^2 = 1089 + 1681 = 2770. Taking the square root of both sides, we find that the hypotenuse (c) is approximately 52.59 feet.

The area of a square is the square of the side (all sides of a square are of equal lengths). So taking the square root of the area would give the value of one side in linear units. Now adjacent sides of a square form a right angle. Therfore the hypotenuse would be the square root of (side^2 + side^2) but you know the value of the side from the previous step when you took the square of the area. Hence you can find the hypotenuse.

The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.

Related questions

A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x

The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.

A triangle is the connection of 3 points (A, B, and C) where they are not all 3 collinear, and A is connected to both B and C, B is connected to both A and C, and C is connected to A and B, all via straight lines. For a Right triangle it would be Two legs and a Hypotenuse. The hypotenuse is determined by taking the two legs, squaring each than adding them together, then taking the square root of the achieved number.

The hypotenuse of a right triangle is found using the Pythagorean theorem: c^2 = a^2 + b^2. Plugging in the given values, we have c^2 = 33^2 + 41^2. Simplifying, c^2 = 1089 + 1681 = 2770. Taking the square root of both sides, we find that the hypotenuse (c) is approximately 52.59 feet.

Pythagoras told us that the hypotenuse of a right triangle equals the square root of the sum of the squares of the other two sides. If you draw a line from corner to opposite corner of your building you divide the floor into two triangles with the same length sides and the hypotenuse is the diagonal of the building. So, taking one of the two triangles the length of the hypotenuse is equal to the square root of 242 + 362 which is 43.27

The area of a square is the square of the side (all sides of a square are of equal lengths). So taking the square root of the area would give the value of one side in linear units. Now adjacent sides of a square form a right angle. Therfore the hypotenuse would be the square root of (side^2 + side^2) but you know the value of the side from the previous step when you took the square of the area. Hence you can find the hypotenuse.

The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.

when we taking the right angle triangle,in this when taking the 30 degrees of one side ,then the ratio of the opposite side to the hypotenuse will 0.5 always.and this is called sin30 in trigonometry and...............this is answered by sreenivassn from narayana engineering college,gudur.

The Pythagorean states that a2 + b2 = c2 for a right triangle, where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse (the diagonal side).Say you are given a triangle with legs of lengths 3 and 4, and need to find the length of the hypotenuse. You can write the equation32 + 42 = c2, where c is the length of the hypotenuse.This gives25 = c2, and taking the square root of both sides of the equation gives5 = c, so the length of the hypotenuses in this case is 5.Another example:Say you have a right triangle where the length of one leg is 12 and the length of the hypotenuse is 13, and you need to find the length of the other leg. You can write the equationa2 + 122 = 132, where a is the length of the unknown leg.Solving:a2 + 144 = 169a2 = 25a = 5, so in this case, the length of the unknown leg is 5.

Pythagorean Theorem, which is actually a2+b2=c2. It means you can find the length of the hypotenuse (c) of a right triangle (which is the diagonal) by squaring of each of its other sides (a and b), adding the squares together, then taking the square root of your outcome. See the link below.

The altitude/height of an equilateral triangle can be calculated by taking the perpendicular bisector of any side. This line will bisect its opposite angle forming two congruent right angled triangles. The side length of the original equilateral triangle is the hypotenuse and the short leg of right angled triangle is half the hypotenuse. By Pythagoras' Theorem : 42 = 22 + L2.........where L is the length of the altitude. L2 = 42 - 22 = 16 - 4 = 12 L = √12 = 2√3 = 3.464 (3dp)

Letting S represent the length of a side of an equilateral triangle having a height of 1 unit, then drawing a perpendicular from the mid point of a side to the opposite vertex creates a right triangle having sides 1, S, and ½S, with S being the hypotenuse of a right triangle. The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides; thus S2 = (H2 + (½)2S2) = 1 + ¼S2. Subtracting 1 from each side, S2 - 1 = ¼S2. Multiplying the terms on each side by 4, 4S2 - 4 = S2; subtracting S2 from each side, 3S2 - 4 = 0; adding 4 to each side, 3S2 = 4; dividing each side by 3, S2 = 4/3; Taking the square root of each side, S = 2/1.732 = 1.1547 The length of each side of an equilateral triangle is the product of 1.1547 x height. (Note: 1.1547 is twice the reciprocal of the square root of 3.) Example: if the height of an equilateral triangle is 30 cm, the length of each side will be 34.641cm (30 x 1.1547cm).