# Euclid 5

Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.

Result

b =  7.14 cm
c =  10 cm

#### Solution:

$c = c_1 +c_2 \ \\ c_1^2 = a^2 -v^2 \ \\ c_1 = \sqrt{ 7^2 - 5^2 } = 4.9 \ cm \ \\ v^2 = c_1 c_2 \ \\ c_2 = v^2/c_1 = 5^2 / 4.9 = 5.1 \ cm \ \\ \ \\ c = c_1 + c_2 = 10 \ \text{cm} \ \\ \ \\ c^2 = a^2+b^2 \ \\ b = \sqrt{ c^2 - a^2 } = 7.14 \ cm$

Try calculation via our triangle calculator.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Euclid2
In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
2. Euclidean distance
Calculate the Euclidean distance between shops A, B and C, where: A 45 0.05 B 60 0.05 C 52 0.09 Wherein the first figure is the weight in grams of bread and second figure is price in USD.
3. Triangle - is RT?
Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, side c is 31 cm longer than side a. Calculate the length of sides and determine whether triangle is a right triangle.
4. Triangle IRT
In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
5. Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
6. Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
7. ABS CN
Calculate the absolute value of complex number -15-29i.
8. Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm and 8 cm. Calculate distance from the center of gravity of the triangle to line p.
9. Triangle ABC
In a triangle ABC with the side BC of length 2 cm The middle point of AB. Points L and M split AC side into three equal lines. KLM is isosceles triangle with a right angle at the point K. Determine the lengths of the sides AB, AC triangle ABC.
10. Spruce height
How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree?
11. Right 24
Right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into 2 unequal segments. The length of one segment is 5 cm. What is the area of the triangle? Thank you.