The diagram shows a right-angled triangle and a parallelogram.

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

h = 12

Step-by-step explanation:

area of triangle = 16x9x0.5= 72 cm^2

area of parallelogram = 72 x 5 = 360 cm^2

area of parallelogram = base x height(h)

360 = 30h

divide both sides by 30

h = 12

You might be interested in

Find m2ABC if m2ABC = 4x + 9 and m2 EBD = 7x– 9. A6 B 33 C 45 D 73

WINSTONCH [101]

Answer:

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

A student’s work is shown below.

Scorpion4ik [409]

The student solved the problem incorrectly. The student should add 12.7 to both sides of the equation to isolate the variable, y.

6 0

4 years ago

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

san4es73 [151]

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5\sqrt{3}$ . A whole side of the triangle is $10\sqrt{3}$ . Multiply that by 3 to get the perimeter of $30\sqrt{3}$ .