Find the remaining sides of a 30°-60°-90° triangle if the shortest side is 2.

Q: In an isosceles triangle, the vertex angle is 3 times the measure of one of the base angles. Find…

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Q: A right triangle has legs of 7 and 3. What is the length of the hypotenuse?

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Q: Find the values of a and b that would make the quadrilateral a parallelogram. Just type the numbers…

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Q: Which of the following could be the third side of a right triangle whose side lengths are 9 and 40?

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Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given that three vertex of parallelogram are Aa1,a2 ,Bb1,b2 and Cc1,c2 if the area of the triangle…

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

Q: side a on a right triangle is always the longest side true or false

A: Hypotenuse of a right triangle is always longest side.

Q: The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each…

A: Given In an isosceles triangle, The vertex angle is 10 less than 3 times its base angle We know that…

Q: Find the lengths of the sides of the triangle PQR. Р(1, -3, -4), Q(7, 0, 2), R(10, -6, -4)

A: Given Data: P(x1, y1, z1) = (1, -3, -4) Q(x2, y2, z2) = (7, 0, 2) R(x3, y3, z3) = (10, -6, -4)   The…

Q: Find the lengths of the sides of the triangle with the indicated vertices (4, −1, −1), (2, 0, −4),…

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Q: If a triangle has lengths of 27m and 11m , check all the possible lengths for the third side.

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: The length of the altitude of an equilateral triangle is  . Find the length of a side of the…

A: Equilateral triangle

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given: Three fixed vertices of a parallelogram are Aa1,a2, Bb1,b2 and Cc1,c2. The area of triangle…

Q: How long is the altitude to the base of an isosceles triangle if the sides of the triangle are 13,…

A: Given triangle is an isosceles triangle with sides of triangle are 13, 13, 10.

Q: Draw a right triangle with legs of 3.5 m and 2.5 m, and hypotenuse of 4.3 m. find the perimeter and…

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Q: Which triangle is a 30°-60°-90° triangle?

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Q: Find the remaining sides of a 30-60-90 degree triangle if the longest side is 6.

A: Given: 30-60-90 triangle  hypotenus=6

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is .................

A: Let,Base of the triangle = Base = 3Height of the triangle = Height = 4Hypotenuse of the triangle =…

Q: Find the areas of the triangles whose vertices are given A(-5, 3), B(1, -2), C(6, -2)

A: The given points of the  triangle are -5,3 ,1,-2,6,-2. Area of the  triangle ABC =121xAyA1xByB1xCyC…

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C =…

A: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

Q: In a 300 -600 -900 triangle, the hypotenuse is always ________ the shortest side, andthe side…

A: In 30-60-90 triangle hypotenuse=2 shorter legLonger leg=3shorter leg

Q: Find the remaining sides of a 30°-60°-90° triangle if the longest side is 5.

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Q: Which of the following side lengths of a Triangle DO NOT IN fact make a Right Triangle? * 3, 4,5 9,…

A: In this question given that triangle three sides and ask that which option do not correct for a…

Q: Find the lengths of the sides of the triangle with the indicated vertices        (−1, 0, −2), (−1,…

A: We know the formula for distance between two points x1,y1,z1 and x2,y2,z2 is x2-x12+y2-y12+z2-z12 We…

Q: The area of a triangle with vertex angles A=61.159°, B=34.246°, C=84.595° is 680.60sqm. The longest…

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Q: Show that the two triangles are similar. AWXZ and AZXY 24

A: Use angle angle angle(AAA) to prove similar

Q: Find the value of the variables of this equilateral triangle.

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Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: In an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

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Q: if a triangle has side lengths of 6, 6.7 and 3, which side is the hypotenuse?

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 10). B = (32) and C = (3 -…

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Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is________

A: GivenRight angled triangle of legs 3 and 4To find hypotenuse side

Q: The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right…

A: Given that The diagonal of a TV is 30 inches long Assuming that this diagonal forms a pair of…

Q: List the sides of the given triangle from shortest to long 67 62 51 AB BC AC

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Q: If the longest side in a 30 degree –60 degree –90 degree  triangle is 10, find the length of the…

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Q: how do you find the distance  of a triangle with legs of 15 and 7?

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Q: If two legs of a right triangle are 7 and 14, find the length of the hypotenuse.

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: Find the coordinates of the circumcenter of triangle ABC with A(6,2), B(-2,2), C(6,-4).

A: Consider the triangle ABC with three vertices: A(6,2), B(-2,2) and C(6,-4). The problem requires to…

Q: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7,…

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Q: Determine the missing leg length for a right triangle with hypotenuse 13.8 and a leg of 7.8

A: Consider a right triangle with hypotenuse 13.8 and a leg of 7.8 Let the missing leg length is 'x'…

Q: determine the altitude of the triangle having a dimension of 150m, 240m and a base of 300m

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Q: The hypotenuse of a 30°-60°-90° triangle  has a length of 15 cm. which could be the length of the…

A: Use trigonometric ratios to find the length of the legs of the triangle.

Q: If the shortest leg of a 30-60-90 right triangle measures 6 v3 cm, what is the exact length of the…

A: Given triangle,

Q: Find the remaining sides of a 30°–60°–90° triangle if the longest side is 9.

A: Consider the following triangle: Apply the law of sine: asinA=bsinB=csinC Therefore,…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.