The height of a triangle is 6 centimeters less than the base. the area of the triangle is 123.5 square centimeters. find the length of the base and the height of the triangle.

The length of base=19cm

The length of height=13cm

Given:

Area of the triangle A=123.5

Height of the triangle h=b-6

To find:

Length of the base

Length of the height

Step by Step Explanation:

Solution:

According to the formula, Area of the triangle

Where b=Base of the triangle

h=Height of the triangle

We know the value of A=123.5and also we know

h=b-6

Substitute these values in the above equation we get

123.5=

247=

The above equation is of the form

Compare the above two equations we get

A=1, B=-6, C=-247

38/2 OR -26/2

The value of b can't be negative so we take

b=38/2=19cm

Though we know that

h=b-6=19-6=13cm

Result:

Thus the length values of b and h are 19 and 13 cm respectively

there would be 365 different 4 digit numbers

step-by-step explanation:

i belive that it is 365 because i asked google

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.