# Geometry

posted by .

A right triangle and a square share a side. The hypotenuse of the triangle measures 10 cm. One base of the triangle measures 4 cm. Neither the known base nor the hypotenuse is the side that is shared with the square. Find the area of the square.

• Geometry -

Given triangle ABC, the right angle being at B.
Given AC = 10
Given AB = 4
Neither AB nor AC share the side of the square.
Therefore, BC = the side of the square being BC = sqrt(10^2 - 4^2) = 9.1651 making the area of the square 84 sq.cm.

• integrated math 2 -

I have a triangle with the base of 11 and all the sides look about the same but i don't know how to find out the height?

## Similar Questions

1. ### corollary to isosceles triangle theorem

how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up …
2. ### math

i have trouble finding the answer to this and how to srt. there is a square and i havbe to find the area. HOweever inside the square is a triangle. the base of the triangle is 3 and the leg is 7. no height is given. plz help. Is this …
3. ### Math

If the hypotenuse of a right triangle is 13 and one of its legs is 5, find the area fo the triangle. Answer Choices 20 40 45 30 25 I know a hypotenuse the side of a right triangle opposite the right angle. You can't multiply the hypotenuse …
4. ### Geometry

The hypotenuse if a right triangle measures 9 inches and one of the acute angles measures 36 degress. What is the area if the triangle?
5. ### trig

use an inverse trig function to write è as a function of x (There is a right triangle. The hypotenuse is 2. è is the angle between the base and the hypotenuse. The base/adjacent side of è is (x + 1) The side opposite è does not …
6. ### math

the base of right angled triangle measures 48 cm and its hypotenuse is 50 cm. find the area of triangle
7. ### Geometry B

Find the exact length of the altitude drawn to the hypotenuse. Do not round. The triangle is not drawn to scale. A triangle with base measures of 9 & 17. Please help
8. ### GEOMETRY

Find the exact length of the altitude drawn to the hypotenuse. Do not round. The triangle is not drawn to scale. A triangle with base measures of 9 & 17. Draw a diagram. Using similar triangles, we know that h/9 = 17/ã370 I need …
9. ### Algebra 2 Honors

Hi, I'd like some help with one of the questions on my math homework. It has to do with a right triangle. I'm not sure how to set it up or if I should use the pythagorean theorem. This is the question: Vista county is setting aside …
10. ### Geometry

Please check my answers 1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right?

More Similar Questions