# MATH trigonometry

posted by .

in an isosceles triangle the vertex angle measures 90 degrees and the length of each congruent leg is 5√2. whats the length of the base?

• MATH trigonometry -

Isn't the base the hypotenuse of a right-angled triangle?

so h^2 = (5√2)^ + (5√2)^2
= .......

• MATH trigonometry -

20?

• MATH trigonometry -

How did you come up with that?

• MATH trigonometry -

i put it into the calculator and i got 20

• MATH trigonometry -

You should not need a calculator.

h^2 = (5√2)^ + (5√2)^2
= 50 + 50
= 100
h = √100 = 10

• MATH trigonometry -

oohh okay i get it now
thank you soo muchh!

## 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. ### Trigonometry

Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot. B) Find the altitude of the triangle. Round to the nearest tenth …
3. ### Trigonometry

Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot.  B) Find the altitude of the triangle. Round to the nearest tenth …
4. ### geometry

Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long. a. Find the length of a leg of the triangle b. Find the altitude of the triangle c. What is the area of the triangle?
5. ### Math (Triangles)

The vertex angle of an isosceles triangle is 40°20'. Each of the leg measures 320 mm. Find the length of the base.
6. ### Math

1. The base of an isosceles triangle is 14 cm in length and the angle opposite the base measures 86 degrees. Find the length of each of the congruent sides. 2. A ski slope has a 42 degrees incline and 170 yard long. Find the vertical …
7. ### Trig

An isosceles triangle has legs 4 feet long. If the vertex angle measures 30 degrees, find the length of the base.
8. ### tri

a vertex of an isosceles is 40-20 degrees. each leg measure 320mm. find the length of the base
9. ### math

Plane A which contains an isosceles right triangle forms a dihedral angle of 60 degrees with another plane B. If the hypotenuse of the triangle lies in plane B and measures 8 in., find the distance from the vertex of the right angle …
10. ### trigonometry

if the vertex of an isosceles triangle is 80 degrees and the side opposite the vertex measures 12 cm, determine the perimeter of the triangle

More Similar Questions