Straight Lines
Altitudes in Triangles
Grade 11
Question:
<p>In an acute triangle ABC, point H is the intersection point of altitude CE to AB and altitude BD to AC. A circle with DE as its diameter intersects AB and AC at points F and G respectively. If BC = 25, BD = 20 and BE = 7.</p><p><strong>The sum of the length of all the sides of △ABC is:</strong></p>
<p>(a) 65</p>
<p>(b) 70</p>
<p>(c) 75</p>
<p>(d) 80</p>
Step-by-Step Solution
Key Concept: Use the properties of altitudes in a triangle and the Pythagorean theorem to find the sides.
<p>No solution provided in source material.</p>
Correct Answer: C