Formula
Area of a triangle
1/2 bh
or 1/2 absin(theta)
A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume?
1540 cm^3
work out sin(30)
1/2
Triange ABC
angle A = 40 deg
angle B= 60
find angle C
80deg
In triangle ABC, AB=8, AC=6, and ∠A=60
Find the length of BC.
7.21 cm
Volume of a cube
V= L^3
A cone has a radius of 5 cm and a height of 12 cm. What is its volume?
314 cm^3
A right-angled triangle has an adjacent side of 8 cm and a hypotenuse of 10 cm. Find The angle
36.9
Triange ABC
angle A = 45 deg
angle B= 60
side AC = 8cm
find side BC
6.53 cm
Question 2: Finding an Angle
In triangle PQR, PQ=10,
PR=12, and QR=8.
Find ∠P
41.4deg
Volume of a cylinder
V = pi*r^2*h
A square-based pyramid has a base side length of 6 cm and a height of 9 cm. What is its volume?
108 cm^3
A ladder leans against a wall, forming an angle of 60 deg∘ with the ground. If the length of the ladder is 10 m, how far is the base of the ladder from the wall?
5m
Triange ABC
angle A = 50 deg
angle B= 70
side AB = 12cm
find side BC
10.6cm
Question 3: Finding the Largest Angle
In triangle DEF, DE=15, DF=10, and EF=18. Find the largest angle.
89.9 deg
surface area of a closed cone
SA = pi *r^2 + pi*r*l
A cylinder has a volume of 500 cm³ and a height of 10 cm. What is the radius of the cylinder?
3.99 cm
A person observes the top of a tower at an angle of elevation of 30 deg∘. The person is 50 m away from the base of the tower. Find the height of the tower.
28.9m
triangle ABC
side ab = 8 cm
bc = 10 cm
angle a = 40 deg
find angle B
30.9 deg
A triangular plot of land has sides AB=50m, AC=40, and BC=30 m.
Find ∠A
36.9 deg
Surface area of a square based pyramid
= 2Bh + B^2
A cone and a cylinder have the same height of 15 cm and the same base radius of 6 cm. What is the ratio of the volume of the cone to the volume of the cylinder?
1/3
From the top of a lighthouse 40 m tall, a person observes a boat at an angle of depression of 25 degs∘. Find the horizontal distance of the boat from the lighthouse.
85.8m
triangle XYZ
angle X = 70 deg
angle Y = 50 deg
side XY = 12 cm
13.0 cm
In triangle LMN, LM=13 cm, LN=14 cm, and ∠L=120∘. Find the length of MN.
23.4deg