Find Missing Angle/Side
In a right triangle, one acute angle measures 30∘ and the hypotenuse is 8 cm. What is the length of the side opposite the 30∘angle?
4cm
A right triangle has a side length (A) of 3cm and a second side length (B) of 4cm. Find the Hypotenuse (C)
C=5cm
A square is divided into two right triangles the squares side length is 4cm.Find the area of the right triangle
8cm
What is the Sine Rule?
the ratio of a side length to the sine of its opposite angle is equal for all three sides and angles.
In triangle ABC, side AB=5cm, side AC=7cm, and the included angle A=60∘.What is the length of side BC
Side BC=6.2cm
In a right triangle, one acute angle measures 35∘ and the hypotenuse is 10 cm. What is the length of the side opposite the 35∘angle?
5.7cm
A Right Triangle has a Hypotenuse length of 13cm (C) and a side length of 12cm (B).Find the missing side length.
A=5
A right triangle has a width of 20cm and a height of 24cm find the area of the triangle
Area=240cm
What is the length of side XY in triangle XYZ if side YZ=18m angle X=42 degrees and angle Z=68 degrees?
side XY=24.8m
What is the Cosine Rule?
This rule is used to find a missing side in any triangle when two sides and the included angle are known.
A triangle has sides of 10 cm and 14 cm with an included angle of 60∘.What is the length of the third side.
12.5cm
A Right Triangle has a side length (A) of 15cm and a side length (B) of 8cm.Find the length of the Hypotenuse(C).
C=17cm
A non-right triangle has side length of 5ft and another side length of 4ft and an angle of 30 degrees. Find the area of the triangle.
Area=5ft
In triangle ABC, side AB=12AB = 12AB=12 cm is opposite angle C=35∘. Angle A=60.What is the length of side BC.
Side BC=18.1cm
In triangle ABC, side AB=8cm, side AC=11cm, and the included angle A=60∘.What is the length of side BC.
Side BC=9.8cm
In triangle ABC, side a=15cm is opposite angle A=42∘, and side b=20cm is opposite angle B. What is the measure of angle B
angle B=63 degrees
A right triangle is made for a window and has a side length of 24ft and has a height of 7ft.Find the Hypotenuse of the window
Hypotenuse=25ft
Which of the Trigonometric Ratios is used to find the area of a non-right triangle
Sine
A rescue team spots a hiker from two observation points, forming a triangle. One side of the triangle is 25 km and is opposite a 40∘angle. Another angle measures 75∘.What is the length of the side opposite the 75∘angle
Side B=37.6km
In triangle ABC, side AB=13cm, side AC=18cm, and the included angle A=72∘.What is the length of side BC.
Side BC is 18.7cm
In triangle ABC, side a=18cm, side b=24cm, and angle C=45∘.What is the length of side c.
C=17cm
A right triangle is made for a window and has the smallest Pythagorean Triple. Name all the side lengths including the Hypotenuse.
3,4,5
What is the area of a triangle with sides 12cm and 15cm and an included angle of 40 degrees.
Area=57.9cm
In triangle ABC, side BC=14cm is opposite angle A=30∘, and angle B=55∘.What is the length of side AC in triangle ABC?
AC=22.9cm
In triangle ABC, side AB=22cm, side AC=31cm, and the included angle A=118∘.What is the length of side BC.
Side BC=45.7cm