Find the radius r of the incircle for triangle ABC given three sides 5 cm., 6 cm., and 7 cm. HINT: Use Heron's formula to find the area of the triangle

Q: Find the length of the given side for the congruent triangles ABC and A'B'C'. The length of side…

A: It is given that, ∆ABC and ∆A'B'C' are congruent

Q: Use Heron's Formula to find the exact area of a triangle that has lengths of sides 4 cm, 13 cm, and…

A: Given: The lengths of sides of a triangle are 4 cm, 13 cm, 15 cm. The area of the triangle can be…

Q: In a triangle whose area is 72 in?, the base has a length of 8 in. Find the length of the…

A: To find: The length of corresponding altitude of the triangle. Given: The area of triangle is 72…

Q: Find the area of the figure. (Sides meet at right angles.) 6 in 4 in 7 in 4 in 2 in

A: We use area of rectangle = Length X Breadth

Q: A triangles form with Silence of 24cm,26cm, and 10 centimeters is a triangle a right triangle?

A: Given : The sides of the triangle are  24 cm, 26 cm and 10 cm.   To show : The  triangle with given…

Q: Use Heron's Formula, A = Vs(s - S)9 to find the exact area of a triangle that has lengths of sides…

A: To find the area of the triangle.

Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: In the figure, side IJ of AHIJ is a diameter of circle A with length of 8 units, and AH is a radius…

A: Given Diameter IJ=8 units Then Radius=82=4 Therefore AH=4 units

Q: Find the area of the figure. (Sides meet at right angles.) 5 in in 5 in 5 in 2 in 2 in 3 in

A:

Q: If the area of the circle is 25TT cm², what is the length of diagonal AD? a. 5V2 cm b. 5V2n cm c.…

A:

Q: The wheel of cheese shown has a radius of 12 inches. However, a wedge has been removed with a…

A:

Q: Congruent Triangles have angles and side lengths. Similar Triangles have angles and side lengths.

A: Explanation of the answer is as follows

Q: The two triangles are congruent. Find the length of CB. 30 9 in 30° 9 in 2x x+4 CB = %3D B D.

A: Given two triangles are congruent

Q: Which set of lengths below will produce a right triangle, according to the converse of the…

A:

Q: Find the area of the figure. (Sides meet at right angles.) 10 in 2 9 in Oin² 4 in 9 in 4 in 4 in

A:

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: What’s the area of the sector of a circle if the radius is 29.2 in and the central angle is 150o

A:

Q: 5. Given: In circle 0, OA = 5, BC = 6, and CD = 4 Find: Area of Quadrilateral ABCD

A: (5).    Given: OA=5BC=6CD=4

Q: In circle E with m \angle DEF= 42m∠DEF=42 and DE=12DE=12 units, find the length of arc DF

A:

Q: In the diagram of A ABC below, AB= 10, BC = 14, and AC = 16. Find the perimeter of the triangle…

A:

Q: For equilateral triangle QRS shown below, (a) what is the length of one side [x] and (b) what is the…

A: Triangle

Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: If AC is a diameter of ©0, find the area of the shaded triangle. A 8 4 4 7

A: the given figure is: we have to find the area of the shaded triangle.

Q: Given a Regular pentagon with side length of 6 ft, find the Area by finding the following, what is…

A:

Q: Use the Pythagorean Theorem to find the exact length of the unlabeled side in the given right…

A: Given : A right triangle.

Q: If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side. O51…

A: In any triangle, the length of any two of its sides is greater than the other side. This is called…

Q: What is the formula for the circumference C of a circle ofradius r? What is the formula for the area…

A: The formula for the circumference C of a circle of radius 'r' is given as follows -  C = 2πr

Q: A regular pentagon has an apothem measuring 3 cm What is the area of the pentagon, rounded to the…

A:

Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

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: Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62…

A: Right triangle follow the Pythagorean Theorem .  H2 = B2 + P2 Here H is the hypotenuse and B is the…

Q: A circle is dividedinto two parts by a chord, 3 cm away from the center. Find the area of the…

A: We know  Area of circle = πr2 r = radius of circle  we use Trigonometry ratios sin(Θ) =…

Q: To find the area of a triangle given two sides and an included angle, you can use Heron's formula. O…

A:

Q: If a regular hexagon has a side of 5 cm, then determine: a) measure of the radius of the…

A: Given side of regular hexagon is s=5 cm (a) Since radius and side of the regular hexagon is equal.…

Q: Two chords, AB and CD, intersect in a circle at E. If AE= 6cm, BE = 8cm, and CE = 3(DE), what is the…

A:

Q: Given: AABC, whose sides are 13 in., 14 in., and 15 in. Find: a) BD, the length of the altitude to…

A: Given: △ABC, whose sides are 13 in., 14 in., and 15 in. a) Given BD is the altitude to the base of…

Q: For each figure, compute the perimeter to the nearest millimeter and the area to the nearest square…

A: (a) Given triangle is                                   By Pythagoras theorem…

Q: in the given figure, O is the centre of the circle and AB is the diameter. If ZODA = 90° and OB =…

A: Given data:- Diameter of circle = AB Center of circle = O ∠ODA=90°OB=BC

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: A circle is inscribed in a triangle ABC and it touches the side AC at P. If AB= 14, AC= 10 and AP=…

A:

Q: Find the measure of one interior angle for each polygon below and round Anwser to the nearest tenth…

A: To determine:- The interior angles of the given polygons.

Q: A triangle has side lengths of 10 in., 16 in., and 18 in. Classify it as acute, obtuse, or right. A.…

A: Let a, b and c  are the sides of a triangle.     Consider, 'c' as the longest side and 'a' and 'b'…

Q: The radius of a square is 2 in. Find the perimeter, apothem, and area of the square.

A:

Q: Two chords, AB and CD, intersect in a circle at E. If AE = 6cm, BE= 8cm, and CE = 3(DE), what is the…

A:

Q: For a regular pentagon, the length of the apothem is 12 in. Find the length of the pentagon's radius…

A: Given: Apothem of a regular pentagon is, a=12 inches. The objective is to find the length of the…

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

A:

Q: In a right triangle with sides of lengths a, b, and c (where e is the length of the hypotenuse),…

A: Solution: Consider the given right triangle having sides a, b, and c where c is the hypotenuse. We…

Q: A quadrilateral ABCD is inscribed in a circle having a diameter AD=8.224 cm. If AB=2cm, BC=4cm, and…

A:

Q: The formula for area of a triangle works for acute and right triangles, but not for obtuse…

A: