2 years ago

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

Mathematics

1 answer:

lara31 [8.8K]2 years ago

4 0

Answer:

The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):

x² + x² = 18²

2x² = 324

x² = 162

x = 9√2

You might be interested in

What is the slope of the line? As soon as possible please !!

mixer [17]

Answer:

$m=\frac{-8}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 4)

Point (4, -4)

Step 2: Find slope m

Substitute [Slope Formula]: $m=\frac{-4-4}{4+1}$
Subtract/Add: $m=\frac{-8}{5}$

5 0

2 years ago

The perimeter of a triangle is 90 cm. The lengths of the sides of the triangle are in the ratios 3:5:7 Work out the length of th

qwelly [4]

Answer:

9cm 5:9

Step-by-step explanation:

7 0

2 years ago

Dude sombody pleasee help me nobody is taking it seriously:(

Mnenie [13.5K]

Answer:

(9, 5) or (0, 14)

Step-by-step explanation:

4+2+3+2=9

3 0

2 years ago

Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mix

irga5000 [103]

3y = 2x + 6
x + y = 7

y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x

x + y = 7
3 + y = 7
y = 7 - 3
y = 4

Solution is (3,4)

6 0

2 years ago

Read 2 more answers

Which expression is the radical form of m to the power of -0.3333

Evgen [1.6K]

Answer:

A1/ ∛m

Step-by-step explanation:

m ^ (-1/3)

this is m to the cubed root in the denominator

1/ ∛m

8 0

2 years ago