A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other sides?

Q: For a triangle where b=2, c=3 and B=40 degrees, determine how many triangles are possible and…

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Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 8?

A: We first sketch the situation roughly. Let the height is h

Q: If the measures of the angles of a triangle are in the ratio 1:2:3. are the lengths of the sides in…

A: The measure of the angles of a triangle are in the ratio of 1:2:3   We know that the sum of all…

Q: If the hypotenuse of the triangle below is 14, what is the leg? 45

A: In right angle traingle we have to find leg side

Q: If the hypotenuse of a 30-60-90 triangle is 16 yards, what is the length of the short leg?

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Q: The sides of a right triangle have lengths of 6 cm, 8 cm, and 10 cm. Which length is that of the…

A: Given  The sides of right angle triangle are 6 cm  , 8 cm and 10 cm

Q: what is the value of side c given a triangle with side a=54, side b=103 and C=72 degree?

A: Given the query is to find the the length of side c.

Q: A right triangle is given with the property a2- b2 hypotenuse. Find measures of angles.

A: Given: A right angle triangle is given with the propertya2-b2=h2

Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

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Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: The measures of the interior angles of a quadrilateral are x, 2x,3x and 4x. What is the measure of…

A: we have given the measure of the interior angles of a quadrilateral are x, 2x, 3x and 4x .  We have…

Q: The measure of the vertex angle of an isosceles triangle is 50°. Find the measure of a base angle of…

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Q: In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides…

A: Pythagoras theorem: It states that, In a right angled triangle, the sum of squares of perpendicular…

Q: If one leg of a right triangle is 8 and the hypotenuse is 10, what is the measure of the other leg?

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Q: Can a triangle be formed with side lengths of 10 cm, 15 cm, and 25 cm? Your answer: O Yes No

A: Given :                   Can a triangle formed with given sides of 10 cm, 15 cm and 25 cm.…

Q: If the height of an equilateral triangle is 7/3, then the length of its side is

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Q: The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg?…

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Q: A right triangle has two equal sides. If the hypotenuse is 20 meters, what is the length of the…

A: Given  In a right triangle  Hypotenuse = 20m  Other two sides are equal.

Q: What is the measure of Zæ? Angles are not necessarily drawn to scale. в A 62°

A: Here we have to find the measure of ∠x .

Q: If the height of an equilateral triangle is 5/3, then the length of its side is

A: Given : Height = 5√3

Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

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: In a right​ triangle, if the length of the hypotenuse is 34 and the length of one of the other sides…

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Q: what is the measure of the exterior angle of a triangle if the two interior angles opposite it…

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Q: Which lengths represent the sides of a right triangle?

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Q: In A RST, which side is the longest? Remember the sum of the angles in a triangle must equal 180°.

A: We are given the following triangle. Now, ∠T=180°-57°-61°=62°. Since ∠T>∠S>∠R⇒RS>RT>TS.…

Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both  3/4 , find the…

A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: In a right triangle, if the length of the hypotenuse is 17 and the length of one of the other sides…

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Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: The measures of the exterior angles of a quadrilateral are 3x", 5x", 7x°, and 9x°. Find the measure…

A: When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of…

Q: The measure of the vertex angle in an isosceles triangle is 129 degrees. What is the measure of the…

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Q: The interior angle of a regular polygon is twice the exterior angle. How many sides have the…

A: The interior angle of a regular polygon is twice the exterior angle .

Q: In a 30-60-90 degree triangle, the side opposite the 30-degree angle is how long compared to…

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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: In the triangle below, find the value of side a to the nearest whole number if the length of side c…

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Q: In a right triangle with one angle measuring 45°, if one leg measures 25, what is the measure of the…

A: Using trigonometric ratio

Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: The height of an isosceles triangle is 6 cm. Find the third side if the length of the two aual sides…

A: Given, Height of an isosceles triangle =6 cm             the length of two equal sides  = 10 cm

Q: In a right​ triangle, if the length of the hypotenuse is 13 and the length of one of the other sides…

A: Given problem is : In a right​ triangle, if the length of the hypotenuse is 13 and the length of…

Q: Side A has a length of 12 m, and angle Y is 12. What is the length of side B?

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Q: In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of…

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Q: hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X?

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Q: Given a right triangle with one acute angle 40° and hypotenuse 400. Find the other sides and angles.

A: Given: A right triangle with one acute angle 40° and hypotenuse 400 is given. To Find: The other…

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: The angles of a triangle are in the ratio 2:3:4. What is the measure of the smallest angle?

A: Let x be the common ratio of the angles.   Thus, the angles of the triangle are 2x, 3x and 4x.…

Q: The measure of the vertex angle in an isosceles triangle is 132 degrees. What is the measure of the…

A: Given that the measure of the vertex angle in an isosceles triangle is 132 degrees. Here we have to…

Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches