The vertex angle of an isosceles triangle has a measure of 68. If the length of the altitude drawn to the base is 14, find the length of the base and each leg of the triangle. Estimate your answers to two decimal places.

Q: One angle of a triangle is thrice as much as the other, while the third angle is five times as much…

A: Let us consider a triangle ABC then sum of angles of the triangle is 180° In other words…

Q: Pine Street, Rector Street, and Taylor Street intersect to form a triangular-shaped park as shown…

A:

Q: The two equal sides of an isosceles triangle are each 43 centimeters. If the base measures 48…

A:

Q: The

A:

Q: If the base of an isosceles triangle has a length of 16 inches and the measure of the vertex angle…

A:

Q: In Circle O, line AOC is a diameter, line ADB  is a secant, and line BC  is a tangent. If the…

A: the figure formed will be  as we know that the measure of arc DC is 3 less than twice the measure…

Q: If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long, how long is…

A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

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 the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right…

A:

Q: Suppose the radius of circle C is two times the radius of circle C,. Discuss the relationship…

A: In the given question, given that two circles s.t C1 and C2 and radius of the circle C1 is two times…

Q: A right triangle has a base of 7, a hypotenuse of 11, the height is not given. What is the measure…

A:

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

A:

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?…

A: Since there are 360 degrees in a circle. Given, one-eighth movement.

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: The two equal sides of an isosceles triangle are each 45 feet. If each of the two equal angles…

A:

Q: If the length of one side of an equilateral triangle is 2a, find the lengthof an altitude.

A: Given:  Length of one side of an equilateral triangle is 2a. To find: the length of its altitude.

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

A:

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Given :

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

A:

Q: Each of the congruent legs of an isosceles triangle is 20 cm long. The measure of the vertex angle…

A: Go Through the solution use cos formula and simplified use calculator.. Go through the solution.

Q: find to the nearest tenth, the length of one of the congruent sides of an isosceles triangle if the…

A:

Q: In Circle O, line AOC is a diameter, line ADBis a secant, and LINE BC is a tangent. If the measure…

A: . Given , the circle O, line AOC is 9 diameter , line ADB is secant, and LINE BC is a tangent mDC¯=…

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

A:

Q: A given triangle has an area of 10 square meters and a height of 5 meters.  How long is the base of…

A:

Q: On a map, the coordinates for Phoenix are (– 12, – 16) and those for Miami are (6, 8), specified in…

A:

Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

A:

Q: A triangle has a 13-inch side, a 14-inch side, and a 15-inch side. To the nearest tenth of an inch,…

A: Given Length of medeain drawn to 14in side is given by    Ma = 122b2+2c2-a2

Q: If the ratio of the measure of the complement of an angle to the measure of its supplement is 1 : 6,…

A: Let the angle be x°. Its complement is 90°-x° Supplement is 180°-x°

Q: 8 ft 30°

A: Given :/ Height of Ramp = 8 feet Slope of Ramp = 30° Let, The distance from Ramp from platform  = D…

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

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

A:

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: length

A:

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

A:

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

A:

Q: Find the length of a side of an equilateral triangle if an altitude is 6 in. long.

A: Given data: ABC is an equilateral triangle. The length of the altitude AD=6 in. Consider the length…

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

A:

Q: If one of the base angles of an isosceles triangle has a measure of 54, find the measure of the…

A: Let's find.

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: The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

A: Given : The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

Q: The two equal sides of an isosceles triangle are each 24 centime-ters. If each of the two equal…

A: Consider the diagram of isosceles triangle ABC as per the given information, since the sum of the…

Q: in a right angled triangle, one of the angles is 69 degrees and the hypoteneuse is 5m long, to the…

A: We know, for this right angled triangle,        sin 690 = Perpendicular/hypoteneous…

Q: A circle has a radius of 10cm. If an arc of this circle has a degree measure of 330 degrees, find…

A: Given:Radius = 10cmDegree = 330⁰

Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

A:

Q: Each of the congruent legs of an isosceles triangle is 20 cm long. The measure of the vertex angle…

A: cosθ=adjacenthypotenuse

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 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: When the angle of elevation of the sun is 39.6∘, the length of the shadow of a utility pole is…

A: Given, angle of elevation of the sun is 39.6∘, and the length of the shadow of an utility pole is…