Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB = HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
=
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
=
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer:
7.36 cm²
Step-by-step explanation:
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
The formula for the area of a triangle is given as:
1/2 × Base × Height
Base = 3.2 cm
Height = 4.6 cm
Hence,
Area of the triangle = 1/2 × 3.2 × 4.6
= 7.36 cm²
Answer:
x=-1
Step-by-step explanation:
4x-16=-20
Get x to one side by subtracting it.
-16=-20-4x
Add the 20 on both sides.
-16+20=-4x
Simplify
4=-4x
4/-4=-4x/-4
-1=x
x=-1
The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.
Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.
180°-143° = 37°
We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.
163.38
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