The base of the triangle is increased by 10% and the height is shortened by 10%. What percentage of the area of the triangle is now?

The base of the triangle is increased by 10% and the height is shortened by 10%. What percentage of the area of the triangle is now?

According to the area formula of the triangle, let the bottom be a and the height be H. now the bottom and height of the triangle are: bottom = a × (1 + 10%) = 1.1a, height = h × (1-10%), = 0.9h; now the area is: 1.1a × 0.9h △ 2 = 0.99ah0.99ah2, the original area is: S = ah2; so the current area is the original area: 0.99ah2 △ ah2 = 0.99 = 99%; answer: now the area of the triangle is 99% of the original area

One waist of an isosceles triangle is 3.5m long, and its area is () square meters
isosceles right triangle

Waist length * waist length / 2 = 3.5 * 3.5 / 2 = 12.25

The waist length of an isosceles triangle is five decimeters. How many square decimeters is its area?

This condition is not enough
If it is an isosceles right triangle, it can be calculated
S=5×5×½=5dm²
So the area is 5 square decimeters

If the area of a triangle is 54 square meters and the bottom is 18 meters, what is the ratio of the bottom to the height?

½ × 18 × H = 54
The ratio of bottom to height is 18:6 = 3:1

The area of a triangle is 54 square meters, the bottom is 6 meters, and the height is () meters
An isosceles right triangle, right side length is 6 cm, the triangle area is ()

The area of a triangle is 54 square meters, the bottom is 6 meters, and the height is (18) meters
An isosceles right triangle, right side length is 6 cm, the triangle area is (18 square centimeter)

The area difference between a parallelogram with equal base and height and a triangle is 18 square decimeters. The area of a parallelogram is (), and that of a triangle is ()

36 square decimeters; 18 square decimeters

A right triangle, two right angle sides for 6 meters, 8 meters, hypotenuse for 10 meters, seek area

6×8÷2
=48÷2
=24 (M2)
A: the area of this right triangle is 24 square meters

If the two right angles of a right triangle are 6cm and 8cm, how long is its circumcircle?

According to the meaning of the question, the hypotenuse of the triangle is the diameter of the circumscribed circle (according to the theorem in the book). Because the sum of the squares of 6 + 8, the length of the hypotenuse is 10, so the radius is 5

What is the radius of the circumcircle of a triangle with sides 5, 5 and 6?

Because this triangle is isosceles triangle, so there is a simple way to solve this problem. Make the height of the bottom 6, then the height of the bottom is the center line of the bottom, so half of the bottom is 3. Then, according to the Pythagorean theorem, the height is 4

If the length of an equilateral triangle is 6cm, what is the radius of its circumscribed circle? What is the radius of its inscribed circle?

The center of the circumscribed circle of an equilateral triangle coincides with the center of the inscribed circle, connects the center of the circle and a vertex, and makes a vertical line to an edge through the center of the circle. This is a 30, 60, 90 triangle, as shown in the figure, BC = 3cm, circumscribed circle radius = BC / cos30 = 2 * root 3cm
Radius of inscribed circle = BC * tan30 = root 3cm