the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle
1 answer:
Answer:
90°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the parts of the ratio 10 + 3 + 7 = 20
divide 180 by 20 to find the value of one part of the ratio
= 9° ← 1 part of the ratio
the largest angle is the one with 10 parts of the ratio, hence
10 parts = 10 × 9° = 90° ← largest angle
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Answer:
Find the midsegment of the triangle which is parallel to CA.
Tip
- A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
- This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
- If two segments are congruent, then they have the same length or measure.In other words, congruent sides of a triangle have the same length.
We have to find the segment which is parallel to CA.
From the given data,
The segment EG is the midsegment of the triangle ABC.
So we have,
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side.
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