Inner angles
The inner angles of the triangle are 30°, 45°, and 105° and its longest side is 10 cm. Calculate the shortest side length, and write the result in cm up to two decimal places.
Correct answer:
Tips for related online calculators
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Calculate triangle
In the triangle, ABC, calculate the sizes of all heights, angles, perimeters, and area if given a=40cm, b=57cm, and c=59cm. - Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
- Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of their size. ... - River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river. - The salary 4
The salary of a worker is first increased by 5% and then it is decreased by 5% . What is the change in his salary? - LCM and HCF 2
If product of two numbers is 5780 and their HCF is 17, then what is their LCM is?
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Johnny 3
Johnny has $46,754 in a savings account that earns 14% annually. The interest is not compounded. To the nearest dollar, how much interest will he earn in 3 years? - Roland 2
Roland sold his watch at 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch. - Remainder one
Find the least number, when divided by 2,3,4,5,6 and 7 leaves remainder 1 in each case. - Father and son 10
Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages.
- Two places 3
The distance between two places A and B 90 km. Two cars start together from A and B .If both the cars go in the same direction, they meet after 9 hours and if they go in opposite directions they meet after 9/7 hours . Find their speeds .(Assume that A has - Students
In a school 2/5 of total numbers of students comes by car while 1/4 by bus, and others walks to school, of which 1/3 walks on their own and rest are escorted by their parents. If 224 students comes to school walking on their own. Find the total number of - An adventurer
An adventurer makes 2/5 of a car trip, 1/3 on horseback and the rest on foot he walks 80 km. What is the total length of your route?