Answer the following questions. Show the solution. 1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A triangle has sides 21 and 17. If the remaining side is the longest side, what is the smallest integer value it can take that would still keep the triangle acute? 3) If the lengths of the sides of ∆??? are 11 cm, 14 cm and 8 cm, then what kind of triangle is ∆???? 4) A tower casts a shadow of 16m at the same time that a 2.5m post cast a shadow of 4m. How high is the tower?

Q: 1) A triangular prism is formed by the intersection of 3 planes: ? = 0 −√3? + ? = 0 ? + √3? = 4 a.…

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Q: 5) a = 3, b = 3, c = 3; an equilateral triangle, find perimeter, area using Heron's formula, and…

A: Given that  a=3,b=3 and c=3 To find the perimeter and area of the triangle using herons formula  And…

Q: 1. Solve all possible and draw all possible triangles ABC given: a-3,0cm, b-5.5cm, <A-30, Round side…

A: We can use sine rule to find the sides and angles of triangle.

Q: 4. Consider a triangle with A = 30° and c = 5. Find the lengths of side a (not shown) for which:…

A: Solving

Q: The longest side of a right angled triangle is 20 cm and one of the other sides is 16 cm. Find the…

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Q: Can side d be the base for this triangle? if so, which length would be the corresponding height? if…

A: We are asked to find the height of the given triangle.

Q: The lengths of all three sides for two triangles are shown below. What is the value for x for the…

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Q: Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m,…

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Q: 1) To find the width ED of a river, a surveyor places markers at A, B, C, and D, as shown. The…

A: Given Data : AB∥ED, BC=50ft, DC=312ft and AB=80ft To Find : Wide of river i.e. the measurement of…

Q: Which of the following sets of numbers could represent the three sides of a right triangle?…

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Q: QUESTION 4 If the sides of a triangle (different from the previous question) are: 1₁ = 10 12=9 13 =…

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Q: 1. Triangle ABC is an isosceles triangle. AB = 8x +2. BC = 5x+2 and CA = 4x + 6. %3D Find AB. 8 x+2…

A: Given that: AB=8x+2BC=5x+2CA=4x+6   Since ∆ABC is an isosceles triangle, therefore the legs BC and…

Q: 1. a) Given sides b, c, and angle d state the area of the triangle. C x b C B

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Q: Given the following information about a triangle A=30 degree Side a =5 Side b =8 How many triangle…

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Q: In a geometry class, you have been asked to measure the three interior angles of each triangle in…

A: In a triangle if two sides of a triangle are equal then the angles opposite to the sides are also…

Q: 19) Triangles ABC and DEF are similar. Find length BC when AC = 12, DF = 8 and EF = 3. E B A 32 h.…

A: Given: Triangle ABC and DEF are similar. AC=12, DF=8 and EF=3.

Q: 3. What are the end points of the triangle called? How are they labeled? 4. The sum of the three…

A: End points of the triangle are called vertices, and the labelled as capital letters of the alphabet

Q: In right triangle ABC, point D is the intersection of the angle bisectors, BE=2", BC=8", CA= 10".…

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Q: 3 A security camera needs to be set so that its angle of view includes the area from a doorway to…

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Q: S. 3) Find measure of Segment ST in the Triangle abov.

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Q: Look at these triangles. A figure contains six labeled triangles of different sizes. Triangle A has…

A: Triangle A has one obtuse angle, two angles that appear congruent, and two sides that appear…

Q: Joseph completed the two problems, asking him to explain if there is enough information to prove the…

A: Given.

Q: = 1cm, and LABC = 30°, how many unique triangles are Given the conditions in triangle ABC where AB =…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.